Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Борис Львович Фейгин

Ведущий научный сотрудник

Доктор физ.-мат. наук

Эл. почта:

Публикации

    1. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Finite Type Modules and Bethe Ansatz Equations, Ann. Henri Poincaré, published online 06.04.2017.
    2. M. Bershtein, B. Feigin, A. Litvinov, Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations, Lett. Math. Phys., 106(1), 29-56 (2016); arXiv:1310.7281, WoS: 000367610700002, Scopus: 2-s2.0-84944705189.
    3. B. Feigin, A. Tsymbaliuk, Bethe subalgebras of quantum affine gl(n) via shuffle algebras, Sel. Math. New Ser., 22(2), 979-1011 (2016); arXiv:1504.01696, WoS: 000379167300019.
    4. B. Feigin, I. Makhlin, A combinatorial formula for affine Hall-Littlewood functions via a weighted Brion theorem, Sel. Math. New Ser., 22(3), 1703-1747 (2016); arXiv:1505.04269, WoS: 000379167300019, Scopus: 2-s2.0-85007477145.
    5. A. Buryak, B.L. Feigin, H. Nakajima, A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes, Int. Math. Res. Notices, 2015(13), 4708-4715 (2015); arXiv:1302.2789, WoS: 000359714900007, Scopus: 2-s2.0-84941887444.
    6. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Quantum toroidal gl(1) and Bethe ansatz, J. Phys. A: Math. Theor. 48, 244001 (2015); arXiv:1502.07194, WoS: 000355253100001, Scopus: 2-s2.0-84934880988.
    7. B. Feigin, A. Hoshino, M. Noumi, J. Shibahara, J. Shiraishi, Tableaux formulas for one-row Macdonald polynomials of types Cn and Dn, SIGMA 11, 100 (2015); arXiv:1412.8001.
    8. M. Bershtein, B. Feigin, G. Merzon, Plane partitions with a "pit'': generating functions and representation theory, arXiv:1512.08779.
    9. Г.С. Мутафян, Б.Л. Фейгин, Характеры представлений квантовой тороидальной алгебры gl1ˆˆ: плоские разбиения «с трибуной», Функц. анализ и его прил., 48(1), 46–60 (2014) [G.S. Mutafyan, B.L. Feigin, Characters of representations of the quantum toroidal algebra gl1ˆˆ: Plane partitions with “stands”, Funct. Anal. Appl., 48(1), 36-48 (2014)], WoS: 000333086600004, Scopus: 2-s2.0-84896350431.
    10. Б.Л. Фейгин, Коммутативные вертексные алгебры и их вырождения, Функц. анализ и его прил., 48(3), 24–33 (2014) [B.L. Feigin, Commutative vertex algebras and their degenerations, Funct. Anal. Appl., 48(3), 175-182 (2014)], WoS: 000342060400003, Scopus: 2-s2.0-84908056617.
    11. A. Berenstein, J. Bernstein, B. Feigin, S. Fomin, M. Kapranov, J. Weyman, Andrei Zelevinsky, 1953–2013., Transform. Groups, 19(1), 289–302 (2014).
    12. I. Cherednik, B. Feigin, Rogers-Ramanujan type identities and Nil-DAHA, Adv. Math., 248, 1050-1088 (2013); arXiv:1209.1978, WoS: 000325739900031, Scopus: 2-s2.0-84884167771.
    13. A.A. Belavin, M.A. Bershtein, B.L. Feigin, A.V. Litvinov, G.M. Tarnopolsky, Instanton moduli spaces and bases in coset conformal field theory, Comm. Math. Phys., 319(1), 269-301 (2013); arXiv:1111.2803, WoS: 000316490100007, Scopus: 2-s2.0-84868216610.
    14. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Representations of quantum toroidal gln, J. Algebra, 380, 78-108 (2013); arXiv:1204.5378, WoS: 000316160800005, Scopus: 2-s2.0-84873942264.
    15. Г.С. Мутафян, Б.Л. Фейгин, Квантовая тороидальная алгебра $\widehat{\widehat{\mathfrak{gl}_1}}$: вычисление характеров некоторых представлений как производящих функций плоских разбиений, Функц. анализ и его прил., 47(1), 62-76 (2013) [G.S. Mutafyan, B.L. Feigin, The quantum toroidal algebra ((gl(1))over-cap)over-cap: Calculation of characters of some representations as generating functions of plane partitions, Funct. Anal. Appl., 47(1), 50-61 (2013)], WoS: 000316206200006, Scopus: 2-s2.0-84874895670.
    16. A. Buryak, B.L. Feigin, Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes, Springer Proc. Math. & Stat., 40, 15-33 (2013) [K. Iohara et al. (eds.), Symmetries, Integrable Systems and Representations]; arXiv:1206.5640, Scopus: 2-s2.0-84883437903.
    17. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Branching rules for quantum toroidal gl(n), arXiv:1309.2147.
    18. A. Buryak, B.L. Feigin, Homogeneous components in the moduli space of sheaves and Virasoro characters, J. Geom. Phys., 62(7), 1652-1664 (2012); arXiv:1111.6422, WoS: 000304578500006, Scopus: 2-s2.0-84859417737.
    19. H. Awata, B. Feigin, J. Shiraishi, Quantum Algebraic Approach to Refined Topological Vertex, J. High Energy Phys., 1203, 041 (2012); arXiv:1112.6074, WoS: 000302412100041, Scopus: 2-s2.0-84859590528.
    20. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Quantum toroidal gl1 algebra: plane partitions, Kyoto J. Math., 52(3), 621-659 (2012); arXiv:1110.5310, WoS: 000307912400008, Scopus: 2-s2.0-84874856218.
    21. A. Braverman, B. Feigin, L. Rybnikov, M. Finkelberg, A Finite Analog of the AGT Relation I: Finite W-Algebras and Quasimaps’ Spaces, Commun. Math. Phys., 308(2), 457-478 (2011); arXiv:1008.3655, WoS: 000296637000007, Scopus: 2-s2.0-80355144467.
    22. B. Feigin, E. Feigin, P. Littelmann, Zhu's algebras, C2-algebras and abelian radicals, J. Algebra, 329(1), 130-146 (2011); arXiv:0907.3962, WoS: 000287675900007, Scopus: 2-s2.0-79451471960.
    23. V. Belavin, B. Feigin, Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories, J. High Energy Phys., 1107, 079 (2011); arXiv:1105.5800, WoS: 000293741500015, Scopus: 2-s2.0-80053161520.
    24. B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Quantum continuous gl: Semiinfinite construction of representations, Kyoto J. Math., 51(2), 337-364 (2011); arXiv:1002.3100, WoS: 000290823900002, Scopus: 2-s2.0-79957864626.
    25. B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Quantum continuous gl: Tensor products of Fock modules and Wn-characters, Kyoto J. Math., 51(2), 365-392 (2011); arXiv:1002.3113, WoS: 000290823900003, Scopus: 2-s2.0-79957854822.
    26. B.L. Feigin, A.I. Tsymbaliuk, Equivariant K-theory of Hilbert schemes via shuffle algebra, Kyoto J. Math., 51(4), 831-854 (2011); arXiv:0904.1679, WoS: 000297531400003, Scopus: 2-s2.0-84855781985.
    27. B. Feigin, M. Jimbo, T. Miwa, Gelfand-Zetlin Basis, Whittaker Vectors and a Bosonic Formula for the sln+1 Principal Subspace, Publ. RIMS, 42(2), 535-551 (2011); arXiv:0907.2045, WoS: 000294193600003, Scopus: 2-s2.0-79959499530.
    28. B. Feigin, M. Finkelberg, I. Frenkel, L. Rybnikov, Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces, Sel. Math. New Ser., 17(2), 337-361 (2011); arXiv:0806.0072, WoS: 000290800800004, Scopus: 2-s2.0-79957570916.
    29. B. Feigin, M. Finkelberg, A. Negut, L. Rybnikov, Yangians and cohomology rings of Laumon spaces, Sel. Math. New Ser., 17(3), 573-607 (2011); arXiv:0812.4656, WoS: 000294202300002, Scopus: 2-s2.0-80051960432.
    30. Б.Л. Фейгин, Абелианизация БГГ-резольвенты представлений алгебры Вирасоро, Функц. анализ и его прил., 45(4), 72-81 (2011) [B.L. Feigin, Abelianization of the BGG resolution of representations of the Virasoro algebra, Funct. Anal. Appl., 45(4), 297-304 (2011)], Scopus: 2-s2.0-83455211477.
    31. B. Feigin, M. Jimbo, M. Okado (Eds.), New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27--31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday., Hackensack, NJ: World Scientific, 2011, xvii, 498 p. ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook.
    32. B. Feigin, E. Feigin, I. Tipunin, Fermionic formulas for (1,p) logarithmic model characters in Φ2,1 quasiparticle realisation, Advanced Studies in Pure Mathematics 61, 161-184 (2011) [Exploring new structures and natural constructions in mathematical physics. Collected papers of the conference upon the occasion of the retirement of Professor Akihiro Tsuchiya, Nagoya, Japan, March 5–8, 2007. Ed. by K. Hasegawa et al. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-64-8/hbk)]; arXiv:0704.2464, WoS: 000310250000005.
    33. B. Feigin, E. Frenkel, Quantization of soliton systems and Langlands duality, Advanced Studies in Pure Mathematics 61, 185-274 (2011) [Hasegawa, Koji (ed.) et al., Exploring new structures and natural constructions in mathematical physics. Collected papers of the conference upon the occasion of the retirement of Professor Akihiro Tsuchiya, Nagoya, Japan, March 5–8, 2007. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-64-8/hbk)]; arXiv:0705.2486, WoS: 000310250000006.
    34. B.L. Feigin, I.Yu. Tipunin, Characters of coinvariants in (1,p) logarithmic models, In: New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Ed. by B. Feigin et al. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 35-60 (2011); arXiv:0805.4096.
    35. H. Awata, B. Feigin, A. Hoshino, M. Kanai, J. Shiraishi, S. Yanagida, Notes on Ding-Iohara algebra and AGT conjecture, RIMS Kôkyûroku, 1765, 12-32 (2011); arXiv:1106.4088.
    36. B. Feigin, E. Frenkel, V.T. Laredo, Gaudin models with irregular singularities, Adv. Math., 223(3), 873-948 (2010); math/0612798, Scopus: 2-s2.0-70450222913.
    37. B. Feigin, E. Frenkel, L. Rybnikov, Opers with irregular singularity and spectra of the shift of argument subalgebra, Duke Math. J., 155 (2), 337-363 (2010); arXiv:0712.1183, Scopus: 2-s2.0-78049314589.
    38. B. Feigin, A. Hoshino, J. Shibahara, J. Shiraishi, S. Yanagida, Kernel function and quantum algebras, RIMS Kokyuroku 1689, 133-152 (2010); arXiv:1002.2485.
    39. B.L. Feigin, I.Yu. Tipunin, Logarithmic CFTs connected with simple Lie algebras, arXiv:1002.5047.
    40. B. Feigin, K. Hashizume, A. Hoshino, J. Shiraishi, S. Yanagida, A commutative algebra on degenerate CP1 and Macdonald polynomials, J. Math. Phys., 50, 095215 (2009); arXiv:0904.2291.
    41. B. Feigin, M. Lashkevich, Form factors of descendant operators: Free field construction and reflection relations, J. Phys. A 42, 304014 (2009) (32pp); arXiv:0812.4776.
    42. B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian, Lett. Math. Phys., 88(1-3), 39-77 (2009); arXiv:0812.2306.
    43. B. Feigin, E. Frenkel, L. Rybnikov, On the Endomorphisms of Weyl Modules over Affine Kac–Moody Algebras at the Critical Level, Lett. Math. Phys., 88(1-3), 163-173 (2009); arXiv:0802.3872.
    44. P.V. Bushlanov, B.L. Feigin, A.M. Gainutdinov, I.Yu. Tipunin, Lusztig limit of quantum sℓ(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models, Nucl. Phys. B 818(3), 179-195 (2009); arXiv:0901.1602.
    45. B. Feigin, E. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Principal 𝔰𝔩3 subspaces and quantum Toda Hamiltonian., Advanced Studies in Pure Mathematics 54, 109-166 (2009) [Algebraic Analysis and Around: In Honor of Professor Masaki Kashiwara's 60th Birthday. Ed. by Miwa, Tetsuji et al. Tokyo: Math. Soc. Japan, 379 pp. ISBN 978-4-931469-51-8]; arXiv:0707.1635.
    46. B. Feigin, Mëbius Contest, Moscow Math. J., 9(2), 209–210 (2009).
    47. B. Feigin, E. Feigin, M. Jimbo, T. Miwa, Y. Takeyama, A φ1,3-Filtration of the Virasoro Minimal Series M(p,p') with 1 < p'/p < 2, Publ. Res. Inst. Math. Sci., 44(2), 213-257 (2008); math/0603070.
    48. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Y. Takeyama, Sets of rigged paths with Virasoro characters, Ramanujan J., 15 (1), 123-145 (2008); math/0506150.
    49. B. Feigin, O. Foda, T. Welsh, Andrews-Gordon type identities from combinations of Virasoro characters, Ramanujan J., 17 (1), 33-52 (2008); math-ph/0504014.
    50. B. Feigin, E. Feigin, Two-dimensional current algebras and affine fusion product, J. Algebra, 313(1), 176-198 (2007); math/0607091.
    51. B.L. Feigin, A.M. Gainutdinov, A.M. Semikhatov, I.Yu. Tipunin, Kazhdan-Lusztig-dual quantum group for logarithimic extensions of Virasoro minimal models, J. Math. Phys., 48, 032303 (2007); math/0606506.
    52. B. Feigin, B. Shoikhet, On [A, A]/[A, [A, A]] and on A n-action on the consecutive commutators of free associative algebras, Math. Res. Lett., 14(5-6), 781-795 (2007); math/0610410.
    53. B. Feigin, A.N. Kirillov, S. Loktev, Combinatorics and geometry of higher level Weyl modules, Amer. Math. Soc. Transl. Ser. 2, Vol. 221(60), 33-47 (2007) [Moscow Seminar on Mathematical Physics, II; Edited by: Yu. Neretin, M. Olshanetsky, and A. Rosly, AMS, 2007; 211 pp; ISBN-10: 0-8218-4371-0, ISBN-13: 978-0-8218-4371-0]; math/0503315.
    54. B. Feigin, T. Kojima, J. Shiraishi, H. Watanabe, The Integrals of Motion for the Deformed W-Algebra Wq,t(slN), Proceedings for Representation Theory 2006, Atami, Japan, p.102-114, (2006), [ISBN4-9902328-2-8]; arXiv:0705.0627.
    55. B. Feigin, T. Kojima, J. Shiraishi, H. Watanabe, The Integrals of Motion for the Deformed Virasoro Algebra, arXiv:0705.0427.
    56. B.L. Feigin, Yu.S. Ilyashenko, A.B. Sossinski, Yu. Tschinkel, M.A. Tsfasman, S.G. Vlăduţ, Yuri I. Manin, Moscow Math. J., 7(1), 163–163 (2007).
    57. B. Feigin, E. Feigin, Principal subspace for the bosonic vertex operator φ(\root 2m)(z) and Jack polynomials, Adv. Math., 206(2), 307-328 (2006); math/0407372.
    58. B.L. Feigin, A.M. Gainutdinov, A.M. Semikhatov, I.Yu. Tipunin, Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center, Commun. Math. Phys., 265 (1), 47-93 (2006); hep-th/0504093.
    59. B.L. Feigin, A.M. Gainutdinov, A.M. Semikhatov, I.Yu. Tipunin, Logarithmic extensions of minimal models: Characters and modular transformations, Nucl. Phys. B 757(3), 303-343 (2006); hep-th/0606196.
    60. А.М. Гайнутдинов, А.М. Семихатов, И.Ю. Типунин, Б.Л. Фейгин, Соответствие Каждана–Люстига для категории представлений триплетной W-алгебры в логарифмических конформных теориях поля, ТМФ, 148(3), 398-427 (2006) [A.M. Gainutdinov, A.M. Semikhatov, I.Y. Tipunin, B.L. Feigin, Kazhdan-Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT, Theor. Math. Phys., 148(3), 1210-1235 (2006)]; math/0512621.
    61. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Y. Takeyama, A monomial basis for the Virasoro minimal series M(p,p'): The case 1<p'/p<2, Commun. Math. Phys., 257 (2), 395-423 (2005); math/0405468.
    62. B. Feigin, G. Felder, B. Shoikhet, Hochschild cohomology of the Weyl algebra and traces in deformation quantization, Duke Math. J., 127 (3), 487-517 (2005); math/0311303.
    63. B. Feigin, E. Feigin, Homological realization of restricted Kostka polynomials, Int. Math. Res. Notices, 2005(33), 1997-2029 (2005); math/0503058.
    64. B. Feigin, S. Loktev, Multi-dimensional Weyl modules and symmetric functions, Commun. Math. Phys., 251 (3), 427-445 (2004); math/0212001.
    65. B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials, Duke Math. J., 125 (3), 549-588 (2004); math/0205324.
    66. B. Feigin, M. Jimbo, M. Kashiwara, T. Miwa, E. Mukhin, Y. Takeyama, A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra Uq(sl2), Eur. J. Combinatorics, 25(8), 1197-1229 (2004); math/0310284.
    67. B. Feigin, M. Jimbo, S. Loktev, T. Miwa, Two character formulas for $\hat{sl_2}$ spaces of coinvariants, Int. J. Mod. Phys. A 19, Suppl.2, 134-154 (2004); math/0211354.
    68. B. Feigin, S. Loktev, Deformation of Weyl modules and generalized parking functions, Int. Math. Res. Notices, 2004(51), 2719-2750 (2004); math/0312158.
    69. B. Feigin, M. Jimbo, R. Kedem, S. Loktev, T. Miwa, Spaces of coinvariants and fusion product II. (sl)over-cap(2) character formulas in terms of Kostka polynomials, J. Algebra, 279(1), 147-179 (2004); math/0208156.
    70. B.L. Feigin, A.M. Semikhatov, Wn(2) algebras, Nucl. Phys. B 698 (3), 409-449 (2004); math/0401164.
    71. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Y. Takeyama, Fermionic formulas for (k, 3)-admissible configurations, Publ. Res. Inst. Math. Sci., 40 (1), 125-162 (2004); math/0212347.
    72. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Y. Takeyama, Particle content of the (k,3)-configurations, Publ. Res. Inst. Math. Sci., 40 (1), 163-220 (2004); math/0212348.
    73. B. Feigin, E. Feigin, Schubert varieties and the fusion products, Publ. Res. Inst. Math. Sci., 40 (3), 625-668 (2004); math/0305437.
    74. B. Feigin, A. Losev, B. Shoikhet, Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics, math/0401400.
    75. B.L. Feigin, Yu.S. Ilyashenko, Yu.I. Manin, S.B. Shlosman, M.A. Tsfasman, Serge G. Vlăduţ, Moscow Math. J., 4(2), 531–532 (2004).
    76. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Y. Takeyama, Symmetric polynomials vanishing on the diagonals shifted by roots of unity, Int. Math. Res. Notices, 2003(18), 999-1014 (2003); math/0209126.
    77. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials, Int. Math. Res. Notices, 2003(18), 1015-1034 (2003); math/0209042.
    78. B. Feigin, J. Hong, T. Miwa, A construction of level 1 irreducible modules for $U_q(\hat{sp}_4)$ using level 2 intertwiners for $U_q(\hat{sl}_2)$, Moscow Math. J., 3(4), 1247-1267 (2003); math/0201124.
    79. B. Feigin, M. Jimbo, S. Loktev, T. Miwa, E. Mukhin, Bosonic formulas for (k,l)-admissible partitions, Ramanujan J., 7 (4), 485-517 (2003); math/0107054.
    80. B. Feigin, M. Jimbo, S. Loktev, T. Miwa, E. Mukhin, Addendum to `Bosonic formulas for $(k,l)$-admissible partitions' (vol 7, pg 485, 2003), Ramanujan J., 7 (4), 519-530 (2003); math/0112104.
    81. Б. Фейгин, Е. Фейгин, Интегрируемые $sl2$- модули как бесконечные тезорные произведения, В сб: Фундаментальная метаматика сегодня, 304-334 (2003). Под ред. С.К. Ландо и О.К. Шейнмана. М.: Изд-во МЦНМО, 2003, 408 с. ISBN: 5-94057-112-3 [B. Feigin, E. Feigin, Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products]; math/0205281.
    82. B.L. Feigin, Yu.S. Ilyashenko, S.K. Lando, A.B. Sossinski, M.A. Tsfasman, V.A. Vassiliev, Alexander Belavin, Moscow Math. J., 3(1), 255–256 (2003).
    83. B.L. Feigin, S.A. Loktev, I.Yu. Tipunin, Coinvariants for lattice VOAs and q-supernomial coefficients, Commun. Math. Phys., 229 (2), 271-292 (2002); math/0107003.
    84. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the (sl)over-cap(2) coinvariants: Dual functional realization and recursion, Compos. Math., 134 (2), 193-241 (2002).
    85. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, A differential ideal of symmetric polynomials spanned by jack polynomials at β = -(r-1)/(k+1), Int. Math. Res. Notices, 2002(23), 1223-1237 (2002); math/0112127.
    86. B. Feigin, E. Feigin, Q-characters of the Tensor Products in sl2-case, Moscow Math. J., 2(3), 567-588 (2002); math/0201111.
    87. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\widehat{\frak{sl}}_2$ spaces of coinvariants: loop Heisenberg modules and recursion, Sel. Math., New Ser., 8 (3), 419-474 (2002).
    88. B.L. Feigin, M. Jimbo, T. Miwa, Vertex operator algebra arising from the minimal series M(3,p) and monomial basis, Prog. Math. Phys., 23, 179-204 (2002) [MathPhys Odyssey 2001: Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Ed. by M. Kashiwara and T. Miwa, Boston ea: Birkhäuser, 2002. ISBN 0-8176-4260-9]; math/0012193.
    89. B. Feigin, M. Jimbo, S. Loktev, T. Miwa, Two character formulas for spaces of coinvariants, math/0211354.
    90. A.A. Belavin, S.Yu. Gubanov, B.L. Feigin, Truncation of Functional Relations in the XXZ Model, Moscow Math. J., 1(2), 145-156 (2001); hep-th/0008011.
    91. B.L. Feigin, A.M. Semikhatov, The $\hat{sl}(2)+\hat{sl}(2)/\hat{sl}(2)$ Coset Theory as a Hamiltonian Reduction of $\hat{D}(2\vert 1;\alpha)$, Nucl. Phys. B 610 (3), 489-530 (2001); hep-th/0102078.
    92. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants, Transform. Groups, 6 (1), 25-52 (2001); math-ph/9908003.
    93. А.М. Семихатов, Б.Л. Фейгин, Косет-теория \widehat{s\ell(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)} есть гамильтонова редукция супералгебры~\widehat{D(2|1;\alpha)}, Письма в ЖЭТФ, 74 (1), 61-65 (2001) [A.M. Semikhatov, B.L. Feigin, sl-hat (2) [direct-sum] sl-hat (2)/sl-hat (2) Coset Theory Is a Hamiltonian Reduction of the D-hat (2|1; alpha) Superalgebra, JETP Lett., 74 (1), 59-64 (2001)].
    94. А.М. Семихатов, И.Ю. Типунин, Б.Л. Фейгин, Полубесконечная реализация унитарных представлений $N=2$ алгебры и родственные конструкции, ТМФ, 126(1), 3–62 (2001) [A.M. Semikhatov, I.Y. Tipunin, B.L. Feigin, Semi-infinite realization of unitary representations of the N=2 algebra and related constructions, Theor. Math. Phys., 126(1), 1-47 (2001)].
    95. Б.Л. Фейгин, С.А. Локтев, О финитизации тождеств Гордона, Функц. анализ и его прил., 35(1), 53–61 (2001) [B.L. Feigin, S.A. Loktev, On the finitization of the Gordon identities, Funct. Anal. Appl., 35(1), 44-51 (2001)].
    96. B.L. Feigin, A.V. Odesskii, Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras, NATO Sci. Ser. II, Math. Phys. Chem. 35, 109-122 (2001) [Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Proceedings of the NATO Advanced Research workshop on dynamical symmetries of integrable quantum field theory and lattice models, Kiev, Ukraine, September 25-30, 2000. Ed. by S. Pakuliak, G. von Gehlen. Dordrecht: Kluwer Academic Publishers, 2001, vii+335 pp. ISBN 0-7923-7183-6]; math/9912037.
    97. B.L. Feigin, A.V. Odesskii, Quantized moduli spaces of the bundles on the elliptic curve and their applications, NATO Sci. Ser. II, Math. Phys. Chem. 35, 123-137 (2001) [Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. Proceedings of the NATO Advanced Research workshop on dynamical symmetries of integrable quantum field theory and lattice models, Kiev, Ukraine, September 25-30, 2000. Ed. by S. Pakuliak, G. von Gehlen. Dordrecht: Kluwer Academic Publishers, 2001, vii+335 pp. ISBN 0-7923-7183-6]; math/9812059.
    98. B.L. Feigin, A.M. Semikhatov, Commutant of the $D_q(2\vert 1;\alpha)$ quantum group, Quantization, gauge theory, and strings. Vol. I. Proc. Int. Conf. dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5-10, 2000. Ed. by A.M. Semikhatov et al. Moscow: Scientific World. 475-487 (2001). ISBN 5-89176-125-4.
    99. B.L. Feigin, A.M. Semikhatov, I.Yu. Tipunin, Possible applications of the semi-infinite construction to integrable lattice models and the modular functor in CFT, Quantization, gauge theory, and strings. Vol. I. Proc. Int. Conf. dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5-10, 2000. Ed. by A.M. Semikhatov et al. Moscow: Scientific World. 488-487 (2001). ISBN 5-89176-125-4.
    100. P. Bowcock, B.L. Feigin, A.M. Semikhatov, A. Taormina, (sl)over-cap(2 vertical bar 1) and (D)over-cap (2 vertical bar 1;alpha) as vertex operator extensions of dual affine sl(2) algebras, Commun. Math. Phys., 214 (3), 495-545 (2000); hep-th/9907171.
    101. J. Ding, B. Feigin, Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2)), J. Nonlinear Math. Phys., 7 (2), 170-183 (2000); math/9802076.
    102. J. Ding, B. Feigin, Commutative quantum current operators, semi-infinite construction and functional models, Represent. Theory 4, 330-341 (2000).
    103. J. Ding, B. Feigin, Drinfeld realization of quantum superalgebras and $U_q(\widehat{\germ{osp}}(1,2))$, Math. Phys. Stud. 22, 93-104 (2000) [Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, Dijon, France, September 5-8, 1999. Volume II. Ed. by G. Dito et al. Dordrecht: Kluwer Academic Publishers, 2000. ISBN 0-7923-6541-0].
    104. B.L. Feigin, A.M. Semikhatov, I.Yu. Tipunin, A Semi-Infinite Construction of Unitary N=2 Modules, hep-th/0004066.
    105. B. Feigin, B. Shoikhet, Deformation quantization with traces and vanishing of the wheels, math/0004081.
    106. B. Feigin, S. Loktev, On finitization of the Gordon identities, math/0006221.
    107. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\hat{sl_2}$ spaces of coinvariants II, math/0009198.
    108. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III, math/0012190.
    109. А.М. Семихатов, Б.Л. Фейгин, Резольвенты унитарных представлений $N=2$ алгебры Вирасоро в терминах свободных полей. II. Резольвента-бабочка, ТМФ, 121(2), 244–257 (1999) [A.M. Semikhatov, B.L. Feigin, Free-field resolutions of unitary representations of the N=2 Virasoro algebra: II. The butterfly resolution, Theor. Math. Phys., 121(2), 1462–1472 (1999)].
    110. Б.Л. Фейгин, О сингулярностях операторов, удовлетворяющих сплетающему соотношению, ТМФ, 121(2), 264–270 (1999) [M.V. Feigin, Singular operators satisfying an intertwining relation, Theor. Math. Phys., 121(2), 1478-1483 (1999)].
    111. B. Feigin, S. Loktev, On generalized Kostka polynomials and quantum Verlinde rule, Advances in Mathematical Sciences, 44, 61-79 (1999) [Differential Topology, Infinite-Dimensional Lie Algebras, and Applications, Amer. Math. Soc., Providence, RI, 1999]; math/9812093.
    112. B. Feigin, M. Finkelberg, A. Kuznetsov, I. Mirković, Semiinfinite Flags. II. Local and global Intersection Cohomology of Quasimaps' spaces, Advances in Mathematical Sciences, 44, 113-148 (1999); alg-geom/9711009.
    113. B. Feigin, M. Finkelberg, A. Kuznetsov, I. Mirković, Semi-infinite Flags. II. Local and global intersection cohomology of quasimaps' spaces, Amer. Math. Soc. Transl. Ser. 2, Vol. 194(44), 113-148 (1999) [Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs' 60th Anniversary Collection, Edited by: Alexander Astashkevich and Serge Tabachnikov, AMS, 1999; 313 pp; ISBN-10: 0-8218-2032-X, ISBN-13: 978-0-8218-2032-2].
    114. B. Feigin, E. Frenkel, Integrable hierarchies and Wakimoto modules, Amer. Math. Soc. Transl. Ser. 2, Vol. 194(44), 27-60 (1999) [Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs' 60th Anniversary Collection, Edited by: Alexander Astashkevich and Serge Tabachnikov, AMS, 1999; 313 pp; ISBN-10: 0-8218-2032-X, ISBN-13: 978-0-8218-2032-2]; math/9902103.
    115. B. Feigin, S. Loktev, On generalized Kostka polynomials and the quantum Verlinde rule, Amer. Math. Soc. Transl. Ser. 2, Vol. 194(44), 61-79 (1999) [Differential Topology, Infinite-Dimensional Lie Algebras, and Applications: D. B. Fuchs' 60th Anniversary Collection, Edited by: Alexander Astashkevich and Serge Tabachnikov, AMS, 1999; 313 pp; ISBN-10: 0-8218-2032-X, ISBN-13: 978-0-8218-2032-2]; math/9812093.
    116. J. Ding, B. Feigin, Quantized $W$-algebra of $sl(2,1)$: A construction from the quantization of screening operators, Contemp. Math. 248, 83-108 (1999) [Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21-24, 1998. Ed. by N. Jing et al. Providence, RI: AMS, 1999. ISBN 0-8218-1199-1]; math/9801084.
    117. B. Feigin, T. Miwa, Extended vertex operator algebras and monomial bases, Ser. Adv. Statist. Mech., 14, 366-390 (1999) [Statistical physics on the eve of the 21st century, World Sci. Publ., River Edge, NJ, 1999.]; math/9901067.
    118. J. Ding, B. Feigin, Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$, math/9905087.
    119. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin,, Combinatorics of the affine (sl-2) spaces of coinvariants, Preprint RIMS-1243, Aug 1999. 23pp.
    120. B. Feigin, M. Jimbo, T. Miwa, A. Odesskii, Ya. Pugai, Algebra of screening operators for the deformed Wn algebra, Commun. Math. Phys., 191 (3), 501-541 (1998); q-alg/9702029.
    121. B. Enriquez, B. Feigin, V. Rubtsov, Separation of variables for Gaudin-Calogero systems, Compositio Mathematica, 110 (1), 1-16 (1998); q-alg/9605030.
    122. B.L. Feigin, A.M. Semikhatov, I.Yu. Tipunin, Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras, J. Math. Phys., 39 (7), 3865-3905 (1998); hep-th/9701043.
    123. B.L. Feigin, A.M. Semikhatov, V.A. Sirota, I.Yu. Tipunin, Resolutions and characters of irreducible representations of the N=2 superconformal algebra, Nucl. Phys. B 536 (3), 617-656 (1998); hep-th/9805179.
    124. B. Feigin, V. Vassiliev, Editors, Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow, Amer. Math. Soc. Transl. Ser. 2, Vol. 185, AMS, 1998, 182 pp.; ISBN-10: 0-8218-1084-7, ISBN-13: 978-0-8218-1084-2.
    125. B.L. Feĭgin, A.V. Odesskiĭ, Coordinate ring of the quantum Grassmannian and intertwiners for the representations of Sklyanin algebras, Amer. Math. Soc. Transl. Ser. 2, Vol. 185(38), 55-64 (1998) [Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow, B. Feigin and V. Vassiliev, Editors, AMS, 1998, 182 pp.; ISBN-10: 0-8218-1084-7, ISBN-13: 978-0-8218-1084-2].
    126. B.L. Feĭgin, A.V. Odesskiĭ, Vector bundles on an elliptic curve and Sklyanin algebras, Amer. Math. Soc. Transl. Ser. 2, Vol. 185(38), 65-84 (1998) [Topics in Quantum Groups and Finite-Type Invariants: Mathematics at the Independent University of Moscow, B. Feigin and V. Vassiliev, Editors, AMS, 1998, 182 pp.; ISBN-10: 0-8218-1084-7, ISBN-13: 978-0-8218-1084-2].
    127. B.L. Feigin, D.B. Duks, Invariant Skew-Symmetric Differential Operators on the Line and Verma Modules over the Virasoro Algebra, In: Conformal invariance and applications to statistical mechanics, Ed. by C. Itzykson et al., 121-133 (1998). World Scientific, 994 pp. ISBN: 978-9971-5-0605-6.
    128. B.L. Feigin, D.B. Duks, Verma Modules over the Virasoro Algebra, In: Conformal invariance and applications to statistical mechanics, Ed. by C. Itzykson et al., 134-135 (1998). World Scientific, 994 pp. ISBN: 978-9971-5-0605-6.
    129. B.L. Feigin, A.M. Semikhatov, Free-Field Resolutions of the Unitary N=2 Super-Virasoro Representations, hep-th/9810059.
    130. A.V. Odesskii, B.L. Feigin, Quantized moduli spaces of the bundles on the elliptic curve and their applications, math/9812059.
    131. B. Feigin, A. Odesskii, A family of elliptic algebras, Int. Math. Res. Notices, 1997(11), 531-539 (1997).
    132. A. Antonov, B. Feigin, Quantum group representations and the Baxter equation, Phys. Lett. B 392 (1-2), 115-122 (1997); hep-th/9603105.
    133. J. Ding, B. Feigin, Quantum current operators. I. Zeros and poles of quantum current operators and the condition of quantum integrability, Publ. Res. Inst. Math. Sci., 33 (2), 277-284 (1997).
    134. J. Ding, B. Feigin, Quantum current operators. II. Difference equations of quantum current operators and quantum parafermion construction, Publ. Res. Inst. Math. Sci., 33 (2), 285-300 (1997); q-alg/9610023.
    135. А.В. Одесский, Б.Л. Фейгин, Эллиптические деформации алгебр токов и их представления разностными операторами, Функц. анализ и его прил., 31(3), 57–70 (1997) [A.V. Odesskii, B.L. Feigin, Elliptic deformations of current algebras and their representations by difference operators, Funct. Anal. Appl., 31(3), 193-203 (1997)].
    136. B. Feigin, F. Malikov, Modular functor and representation theory of $\widehat{sl\sb 2}$ at a rational level, Contemp. Math. 202, 357-405 (1997) [Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May--June 1995, Hartford, CT, USA/Luminy, France. Ed. bu J.-L. Loday et al. Providence, RI: AMS, 1997. ISBN 0-8218-0513-4]; q-alg/9511011.
    137. B. Feigin, E. Frenkel, Quantum W-algebras and elliptic algebras, Commun. Math. Phys., 178 (3), 653-677 (1996); q-alg/9508009.
    138. С.А. Локтев, Б.Л. Фейгин, Когомологии нильпотентных подалгебр алгебры $\widehat{sl_2}$, Функц. анализ и его прил., 30(4), 80–83 (1996) [B.L. Feigin, S.A. Loktev, Cohomology of nilpotent subalgebras of the algebra (sl(2))over-cap, Funct. Anal. Appl., 30(4), 285-287 (1996)].
    139. B. Feigin, E. Frenkel, Integrals of motion and quantum groups, Lect. Notes Math. 1620, 349-418 (1996) [Francaviglia, M. (ed.) et al., Integrable systems and quantum groups. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (CIME) held in Montecatini Terme, Italy, June 14-22, 1993. Berlin: Springer-Verlag, 1996. ISBN 3-540-60542-8].
    140. B. Feigin, S. Parkhomenko, Regular representations of affine Kac-Moody algebras, Math. Phys. Stud. 19, 415-424 (1996) [Algebraic and geometric methods in mathematical physics. Proc. 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, Sept. 1-14, 1993. Ed. by A. Boutet de Monvel, Anne et al., Dordrecht: Kluwer Academic Publishers, 1996. ISBN 0-7923-3909-6]; hep-th/9308065.
    141. J. Ding, B. Feigin, Quantum current operators (III): Commutative quantum current operators, semi-infinite construction and functional models, q-alg/9612009.
    142. J. Ding, B. Feigin, Difference equations of quantum current operators and quantum parafermion construction, q-alg/9610023.
    143. B. Feigin, V. Schechtman, A. Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. II, Commun. Math. Phys., 170 (1), 219-247 (1995); hep-th/9407010.
    144. B. Feigin, E. Frenkel, Kac-Moody groups and integrability of soliton equations, Invent. Math., 120(2), 379-408 (1995); hep-th/9311171.
    145. A.V. Antonov, B.L. Feigin, A.A. Belov, Geometrical Description of the Local Integrals of Motion of Maxwell-Bloch Equation, Mod. Phys. Lett. A 10(17), 1209-1223 (1995); hep-th/9501128.
    146. O. Andreev, B. Feigin, On bosonization of 2d conformal field theories, Nucl. Phys. B 433 (3), 685-711 (1995); hep-th/9403081.
    147. Б. Энрикес, Б. Л. Фейгин, Интегралы движения классической системы sine-Гордон на решетке, ТМФ, 103(3), 507–528 (1995) [B. Enriquez, B.L. Feigin, Integrals of motion of the classical lattice sine-Gordon system, Theor. Math. Phys., 103(3), 738-756 (1995)]; hep-th/9409075.
    148. А.В. Одесский, Б.Л. Фейгин, Эллиптические алгебры Склянина. Случай точки конечного порядка, Функц. анализ и его прил., 29(2), 9–21 (1995) [A.V. Odesskii, B.L. Feigin, Elliptic Sklyanin algebras. The case of points of finite order, Funct. Anal. Appl., 29(2), 81-90 (1995)].
    149. B. Feigin, E. Frenkel, Integrals of Motion and Quantum Groups, Lect. Notes Math., 1620, 349-418 (1995) [Integrable Systems and Quantum Groups, Ron Donagi, Boris Dubrovin, Edward Frenkel and Emma Previato (Eds). Springer, viii,488 pp, ISBN 978-3-540-60542-3]; hep-th/9310022.
    150. B.L. Feigin, A.V. Odesskii, Vector bundles on elliptic curve and Sklyanin algebras, Preprint RIMS-1032, Sep 1995. 26pp; q-alg/9509021.
    151. B. Feigin, V. Schechtman, A. Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. I, Commun. Math. Phys., 163 (1), 173-184 (1994).
    152. B. Feigin, E. Frenkel, N. Reshetikhin, Gaudin model, Bethe Ansatz and critical level, Commun. Math. Phys., 166 (1), 27-62 (1994); hep-th/9402022, WoS: A1994PZ75200002.
    153. B. Feigin, F. Malikov, Fusion algebra at a rational level and cohomology of nilpotent subalgebras of (sl)over-cap-(2), Lett. Math. Phys., 31 (4), 315-325 (1994); hep-th/9310004.
    154. А.В. Стояновский, Б.Л. Фейгин, Функциональные модели представлений алгебр токов и полубесконечные клетки Шуберта, Функц. анализ и его прил., 28(1), 68–90 (1994) [A.V. Stoyanovsky, B.L. Feigin, Functional models for representations of current algebras and semi-infinite Schubert cells, Funct. Anal. Appl., 28(1), 55–72 (1994)].
    155. А.В. Стояновский, Б.Л. Фейгин, Реализация модулярного функтора в пространстве дифференциалов и геометрическая аппроксимация многообразия модулей G-расслоений, Функц. анализ и его прил., 28(4), 42-65 (1994) [A.V. Stoyanovsky, B.L. Feigin, A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space of G-bundles, Funct. Anal. Appl., 28(4), 257-275 (1994)].
    156. A.V. Odessky, B.L. Feigin, Sklyanin elliptic algebras. The Case of points of finite order, Preprint RIMS-986, Jul 1994. 15pp.
    157. А.В. Одесский, Б.Л. Фейгин, Конструкции эллиптических алгебр Склянина и квантовых $R$-матриц, Функц. анализ и его прил., 27(1), 37–45 (1993) [A.V. Odesskii, B.L. Feigin, Constructions of Sklyanin elliptic algebras and quantum R-Matrices, Funct. Anal. Appl., 27(1), 31–38 (1993)].
    158. B. Feigin, E. Frenkel, Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities, Adv. Sov. Math., 16, 139-148 (1993) [I. M. Gelfand Seminar. Ed. by Sergei Gelfand and Simon Gindikin. AMS, 1993, 449 pp. ISBN: 0-8218-4117-3]; hep-th/9301039.
    159. B. Feigin, F. Malikov, Integral Intertwining Operators and Complex Powers of Differential (q-Difference) Operators, Adv. Sov. Math., 17, 15-63 (1993) [Unconventional Lie Algebras. Ed. by Dmitry Fuchs, AMS., Providence, RI, 1993, 216 pp]. ISBN: 0-8218-4121-1; hep-th/9306137.
    160. B.L. Feigin, A.V. Stoyanovsky, Quasi-particles models for the representations of Lie algebras and geometry of flag manifold., arXiv:9308079.
    161. B. Feigin, E. Frenkel, Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras, Int. J. Mod. Phys. A 7, Suppl. 1A, 197-215 (1992).
    162. B.L. Feigin, T. Nakanishi, H. Ooguri, The annihilating ideals of minimal models, Int. J. Mod. Phys. A 7, Suppl. 1A, 217-238 (1992).
    163. B. Feigin, E. Frenkel, Free field resolutions in affine Toda field theories, Phys. Lett. B 276 (1-2), 79-86 (1992).
    164. B.L. Feigin, E. Frenkel, Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras, Adv. Ser. Math. Phys., 16 [Infinite analysis, Part A, B (Kyoto, 1991)], 197-215, World Sci. Publ., River Edge, NJ, 1992.
    165. B.L. Feigin, T. Nakanishi, H. Ooguri, The annihilating ideals of minimal models, Adv. Ser. Math. Phys., 16 [Infinite analysis, Part A, B (Kyoto, 1991)], 217-238, World Sci. Publ., River Edge, NJ, 1992.
    166. B. Feigin, E. Frenkel, Semi-infinite Weil complex and the Virasoro algebra, Commun. Math. Phys., 137 (3), 617-639 (1991); Erratum — ibid, 147 (3), 647-648 (1992).
    167. B. Feigin, E. Frenkel, Duality in W-algebras, Int. Math. Res. Notices, 1991(6), 75-82 (1991).
    168. B.L. Feigin, Differential operators on the moduli space of $G$-bundles on algebraic curve and Lie algebra cohomologies, In: Special functions (Okayama, 1990), 90-103, ICM-90 Satell. Conf. Proc., Springer, Tokyo, 1991.
    169. B.L. Feigin, Conformal field theory and cohomologies of the Lie algebra of holomorphic vector fields on a complex curve, Proc. Int. Congress of Mathematicians (IICM-90), Kyoto, Japan, 21-29 August 1990, Vol.1, 71-85 (1991). Ed. by I. Satake, Springer-Verlag, 1991, lxxxvi, 768 p. ISBN 4-431-70047-1.
    170. B.L. Feigin, E.V. Frenkel, Affine Kac-Moody algebras and semi-infinite flag manifolds, Commun. Math. Phys., 128 (1), 161-189 (1990).
    171. B.L. Feigin, E. Frenkel, Representations of affine Kac-Moody algebras, bosonization and resolutions, Lett. Math. Phys. 19(4), 307-317 (1990).
    172. B.L. Feigin, V.V. Schechtman, A.N. Varchenko, On algebraic equations satisfied by correlators in Wess-Zumino-Witten models, Lett. Math. Phys. 20(4), 291-297 (1990).
    173. B. Feigin, E. Frenkel, Bosonic ghost system and the Virasoro algebra, Phys. Lett. B 246(1-2), 71-74 (1990).
    174. B. Feigin, E. Frenkel, Quantization of the Drinfeld-Sokolov reduction, Phys. Lett. B 246(1-2), 75-81 (1990).
    175. B.L. Feigin, D.B. Fuchs, Representations of the Virasoro algebra., Adv. Stud. Contemp. Math., 7 [Representation of Lie groups and related topics], 465-554, Gordon and Breach, New York, 1990.
    176. B.L. Feigin, E.V. Frenkel, Representations of Affine Kac-Moody Algebras and Bosonization, In: Physics and Mathematics of Strings (Memorial Volume for Vadim Knizhnik), 271-316 (1990). Ed. L.Brink, D.Friedan, A.M. Polyakov, World Scientific, 1990, 608 pp. ISBN: 978-9971-5-0980-4 [Research reports in physics].
    177. B. Feigin, Schechtman, V., The honour to V. Knizhnik, Rend. Circ. Mat. Palermo (2), Suppl. No. 21, 9-10 (1989).
    178. Feĭgin, Boris, Tsygan, Boris, Riemann-Roch theorem and Lie algebra cohomology. I, Rend. Circ. Mat. Palermo (2), Suppl. No. 21, 15–52 (1989).
    179. B. Feigin, A. Fialowski, Cohomology of the nilpotent subalgebras of current Lie algebras, Studia Sci. Math. Hungar., 24(1), 1-9 (1989).
    180. А.В. Одесский, Б.Л. Фейгин, Эллиптические алгебры Склянина, Функц. анализ и его прил., 23(3), 45–54 (1989) [A.V. Odesskii, B.L. Feigin, Sklyanin elliptic algebras, Funct. Anal. Appl., 23(3), 207–214 (1989)].
    181. B.L. Feigin, D.B. Fuchs, Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras, J. Geom. Phys., 5(2), 209-235 (1988).
    182. B.L. Feigin, On the cohomology of the Lie algebra of vector fields and of the current algebra, Selecta Math. Soviet., 7(1), 49-62 (1988).
    183. Б.Л. Фейгин, Алгебры Ли $\mathfrak{gl}(\lambda)$ и когомологии алгебры Ли дифферен­циальных операторов, Успехи мат. наук, 43:2(260), 157–158 (1988) [B.L. Feigin, The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators, Russ. Math. Surv., 48(2), 169–170 (1988)].
    184. Б.Л. Фейгин, Э.В. Френкель, Семейство представлений аффинных алгебр Ли, Успехи мат. наук, 43:5(263), 227–228 (1988) [B.L. Feigin, E.V. Frenkel’, A family of representations of affine Lie algebras, Russ. Math. Surv., 43(5), 221–222 (1988)].
    185. B.L. Feigin, D.B. Fuks, Invariant skew-symmetric differential operators on the Line and Ferma modules over the Virasoro algebra, Adv. Ser. Math. Phys., 3, 340-352 (1988) [Kac-Moody and Virasoro Algebras. A Reprint Volume for Physicists. Ed. by P Goddard & D Olive, World Sci. Publ., River Edge, NJ, 1988, 604 pp. ISBN: 978-9971-5-0419-9].
    186. B.L. Feigin, D.B. Fuchs, V.S. Retakh, Massey operations in the cohomology of the infinite dimensional Lie algebra L1, Lect. Notes Math., 1346, 13-31 (1988) [Topology and Geometry — Rohlin Seminar, Ed. by O. Ya. Viro. Springer, xi,581 pp, ISBN 978-3-540-50237-1].
    187. Б.Л. Фейгин, Д.Б. Фукс, Когомологии групп и алгебр Ли, Итоги науки и техн. Сер. Соврем. пробл. мат. Фундам. направления, 21 [Группы Ли и алгебры Ли – 2], ВИНИТИ, М., 1988, 121–209 [B.L. Feigin, D.B. Fuchs, Cohomologies of Lie groups and Lie algebras, Lie groups and Lie algebras II. Encycl. Math. Sci. 21, 125-215 (2000)].
    188. B.L. Feigin, A. Fialowski, Cohomology of the infinite-dimensional Lie algebra $L_1$ with nontrivial coefficients., Bull. Amer. Math. Soc., 17(2), 333-337 (1987).
    189. B.L. Feigin, B.L. Tsygan, Additive K-theory, Lect. Notes Math., 1289, 67-209 (1987) [K-Theory, Arithmetic and Geometry: Seminar, Moscow University, 1984–1986. Ed. by Yu.I. Manin. Springer, 1987, iii,399 pp. ISBN: 978-3-540-18571-0].
    190. B.L. Feigin, B.L. Tsygan, Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras, Lect. Notes Math., 1289, 210-239 (1987) [K-Theory, Arithmetic and Geometry: Seminar, Moscow University, 1984–1986. Ed. by Yu.I. Manin. Springer, 1987, iii,399 pp. ISBN: 978-3-540-18571-0].
    191. Ф.Г. Маликов, Б.Л. Фейгин, Д.Б. Фукс, Особые векторы в модулях Верма над алгебрами Каца–Муди, Функц. анализ и его прил., 20(2), 25–37 (1986) [F.G. Malikov, B.L. Feigin, D.B. Fuks, Singular vectors in Verma modules over Kac—Moody algebras, Funct. Anal. Appl., 20(2), 103–113 (1986)].
    192. Б.Л. Фейгин, Б.Л. Цыган, Аддитивная $K$-теория и кристальные когомологии, Функц. анализ и его прил., 19(2), 52-62 (1985) [B.L. Feigin, B.L. Tsygan, Additive K-theory and crystalline cohomology, Funct. Anal. Appl., 19(2), 124-132 (1985)].
    193. B.L. Feigin, Leites, D. A., New Lie superalgebras of string theories, In: Group theoretical methods in physics, Vol. 1-3 (Zvenigorod, 1982), 623-629, Harwood Academic Publ., Chur, 1985.
    194. B.L. Feigin, Leites, D. A., V.V. Serganova, Kac-Moody superalgebras, In: Group theoretical methods in physics, Vol. 1-3 (Zvenigorod, 1982), 631-637, Harwood Academic Publ., Chur, 1985.
    195. B.L. Feigin, Zelevinsky, A. V., Representations of contragredient Lie algebras and the Kac-Macdonald identities, In: Representations of Lie groups and Lie algebras (Budapest, 1971), 25-77, Akad. Kiad?, Budapest, 1985.
    196. Б.Л. Фейгин, Полубесконечные гомологии алгебр Ли, Каца–Муди и Вирасоро, Успехи мат. наук, 39:2(236), 195-196 (1984) [B.L. Feigin, The semi-infinite homology of Kac-Moody and Virasoro Lie algebras, Russ. Math. Surv., 39(2), 155-156 (1984)].
    197. Б.Л. Фейгин, Д.Б. Фукс, Стабильные когомологии алгебры Wn и соотношения в алгебре L1, Функц. анализ и его прил., 18(3), 94-95 (1984) [B.L. Feigin, D.B. Fuks, Stable cohomology of the algebra Wn and relations in the algebra L1, Funct. Anal. Appl., 18(3), 210–223 (1984)].
    198. B.L. Feigin, D.B. Fuchs, Verma modules over the virasoro algebra, Lect. Notes Math., 1060, 230-245 (1984) [Topology. Ed. L.D. Faddev and A.A. Mal'cev. Springer, 1984, vi,398 pp. ISBN: 978-3-540-13337-7].
    199. Б.Л. Фейгин, Д.Б. Фукс, Операторы Казимира в модулях над алгеброй Вирасоро, Докл. Акад. наук СССР, 269 (5), 1057-1060 (1983) [B.L. Feigin, D.B. Fuks, Casimir operators in modules over the Virasoro algebra, Sov. Math., Dokl. 27, 465-469 (1983)].
    200. Б.Л. Фейгин, А. Фиаловски, Когомологии нильпотентов алгебр токов, Докл. Акад. наук СССР, 271 (4), 813-816 (1983) [B.L. Feigin, A. Fialowski, On the cohomology of nilpotent algebras of flows, Sov. Math. Dokl. 28, 178-181 (1983)].
    201. Б.Л. Фейгин, Б.Л. Цыган, Когомологии алгебр Ли обобщенно-якобиевых матриц, Функц. анализ и его прил., 17(2), 86-87 (1983) [B.L. Feigin, B.L. Tsygan, Cohomologies of Lie algebras of generalized Jacobi matrices, Funct. Anal. Appl., 17(2), 153-155 (1983)].
    202. Б.Л. Фейгин, Д.Б. Фукс, Модули Верма над алгеброй Вирасоро, Функц. анализ и его прил., 17(3), 91-92 (1983) [B.L. Feigin, D.B. Fuks, Verma modules over the virasoro algebra, Funct. Anal. Appl., 17(3), 241-242 (1983)].
    203. D.A. Leites, B.L. Feigin, New Lie superalgebras of string theories. (Russian), Теоретико-групповые методы в физике. Том 1, 264-273 (1983). Труды межд. семинара, Звенигород, 24-26 ноября 1982 г. Под ред. Маркова М.А., М.: Наука, 1983, 424 с.
    204. D.A. Leites, V.V. Serganova, B.L. Feigin, Kac-Moody superalgebras. (Russian), Теоретико-групповые методы в физике. Том 1, 274-279 (1983). Труды межд. семинара, Звенигород, 24-26 ноября 1982 г. Под ред. Маркова М.А., М.: Наука, 1983, 424 с.
    205. Б.Л. Фейгин, Когомологии контактных алгебр Ли, C. R. Acad. Bulgare Sci., 35(8), 1029-1031 (1982).
    206. В.С. Ретах, Б.Л. Фейгин, О когомологиях некоторых алгебр и супералгебр Ли векторных полей, Успехи мат. наук, 37:2(224), 233–234 (1982) [V.S. Retakh, B.L. Feigin, On the cohomology of certain Lie algebras and superalgebras of vector fields, Russ. Math. Surv., 37(2), 251-252 (1982)].
    207. Б.Л. Фейгин, Д.Б. Фукс, Кососимметрические инвариантные дифференциальные операторы на прямой и модули Верма над алгеброй Вирасоро, Функц. анализ и его прил., 16(2), 47–63 (1982) [B.L. Feigin, D.B. Fuks, Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra, Funct. Anal. Appl., 16(2), 114–126 (1982)].
    208. Б.Л. Фейгин, О когомологиях групп и алгебр токов, Успехи мат. наук, 35:2(212), 225-226 (1980) [B.L. Feigin, Cohomology of groups and algebras of flows, Russ. Math. Surv., 35(2), 239–240 (1980)].
    209. Б.Л. Фейгин, Д.Б. Фукс, Гомологии алгебры Ли векторных полей на прямой, Функц. анализ и его прил., 14(3), 45-60 (1980) [B.L. Feigin, D.B. Fuks, Homology of the Lie algebra of vector fields on the line, Funct. Anal. Appl., 14(3), 201-212 (1980)].
    210. Б.Л. Фейгин, Д.Б. Фукс, Об инвариантных дифференциальных операторах на прямой, Функц. анализ и его прил., 13(4), 91-92 (1979) [B.L. Feigin, D.B. Fuks, Invariant differential operators on the line, Funct. Anal. Appl., 13(4), 303-305 (1979)].
    211. И.М. Гельфанд, Б.Л. Фейгин, Д.Б. Фукс, Когомологии бесконечномерных алгебр Ли и операторы Лапласа, Функц. анализ и его прил., 12(4), 1–5 (1978) [I.M. Gel’fand, B.L. Feigin, D.B. Fuks, Cohomology of infinite-dimensional Lie algebras and Laplace operators, Funct. Anal. Appl., 12(4), 243-247 (1979)].
    212. Б.Л. Фейгин, Характеристические классы флагов слоений, Функц. анализ и его прил., 9(4), 49–56 (1975) [B.L. Feigin, Characteristic classes of flags of foliations, Funct. Anal. Appl., 9(4), 312-317 (1975)].
    213. И.М. Гельфанд, Б.Л. Фейгин, Д.Б. Фукс, Когомологии алгебры Ли формальных векторных полей с коэффициентами в сопряженном с ней пространстве и вариации характеристических классов слоений, Функц. анализ и его прил., 8(2), 13–29 (1974) [I.M. Gel’fand, B.L. Feigin, D.B. Fuks, Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations, Funct. Anal. Appl., 8(2), 99-112 (1974)].