Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Борис Львович Фейгин

Ведущий научный сотрудник

Член-корреспондент РАН

Эл. почта:

Публикации

    1. M.C.N. Cheng, S. Chun, B. Feigin, F. Ferrari, S. Gukov, S.M. Harrison, D. Passaro, 3-Manifolds and VOA Characters, Communications in Mathematical Physics, 405, art. 44 (2024), 76 pp; arXiv:2201.04640, Scopus: 2-s2.0-85186699831, ADS: 2024CMaPh.405...44C, InSpire: 2010439.
    2. B. Feigin, M. Jimbo, E. Mukhin, Commutative subalgebra of a shuffle algebra associated with quantum toroidal glm|n, Journal of Pure and Applied Algebra, 228(6), 107619 (2024); arXiv:2306.05223, Scopus: 2-s2.0-85183483396, ADS: 2023arXiv230605223F, InSpire: 2667330.
    3. B. Feigin, L. Rybnikov, F. Uvarov, Gaudin model and Deligne’s category, Letters in Mathematical Physics, 114(1), 3 (2024), Scopus: 2-s2.0-85180237302.
    4. Mikhail Bershtein, Boris Feigin, Aleksandr Trufanov, Highest-weight vectors and three-point functions in GKO coset decomposition, arXiv:2404.14350, ADS: 2024arXiv240414350B, InSpire: 2779512.
    5. Boris L. Feigin, Simon D. Lentner, Twisted vertex algebra modules for irregular connections: A case study, arXiv:2411.16272, ADS: 2024arXiv241116272F.
    6. B. Feigin, M. Jimbo, E. Mukhin, Combinatorics of vertex operators and deformed W-algebra of type D(2,1;α), Advances in Mathematics 403,108331 (2022); arXiv:2103.15247, WoS: 000793345300016, Scopus: 2-s2.0-85127366148, ADS: 2021arXiv210315247F, РИНЦ: 48423928, MathSciNet: 4402974, zbMath: 07534679, EDN: WVYCGF.
    7. T. Arakawa, T. Creutzig, B. Feigin, Urod algebras and Translation of W-algebras, Forum of Mathematics, Sigma, 10, art. e33 (2022); arXiv:2010.02427, WoS: 000807579100001, Scopus: 2-s2.0-85131817830, ADS: 2020arXiv201002427A, InSpire: 1821622, РИНЦ: 49156218, MathSciNet: 4436591, zbMath: 07541105, EDN: SPWVLC.
    8. T. Creutzig, B. Feigin, A.R. Linshaw, N = 4 Superconformal Algebras and Diagonal Cosets, Int. Math. Res. Notices, 2022(03), 2180-2223 (2022); arXiv:1910.01228, WoS: 000740670600013, Scopus: 2-s2.0-85127297946, ADS: 2019arXiv191001228C, InSpire: 1757425, РИНЦ: 48424167, MathSciNet: 4366001, zbMath: 07471376, EDN: XUEYUM.
    9. B. Feigin, M. Jimbo, E. Mukhin, Quantum toroidal comodule algebra of type An−1 and integrals of motion, SIGMA 18, 051, 31 pages (2022); arXiv:2112.14631, WoS: 000921863400001, Scopus: 2-s2.0-85133867252, ADS: 2021arXiv211214631F, InSpire: 1998714, MathSciNet: 4448840, zbMath: 1492.81062.
    10. B. Feigin, M. Jimbo, E. Mukhin, Extensions of deformed W-algebras via qq-characters, arXiv:2212.01649, ADS: 2022arXiv221201649F, InSpire: 2610779.
    11. B.L. Feigin, S.D. Lentner, Vertex algebras with big center and a Kazhdan-Lusztig Correspondence, arXiv:2210.13337, ADS: 2022arXiv221013337F, InSpire: 2169729.
    12. П.И. Арсеев, М.А. Васильев, М.И. Высоцкий, А.С. Горский, В.Г. Дринфельд, А.Б. Замолодчиков, В.Е. Захаров, А.В. Литвинов, А.М. Поляков, В.А. Рубаков, Б.Л. Фейгин, М.А. Шифман, Александр Абрамович Белавин (к 80-летию со дня рождения), УФН 192(10), 1179-1180 (2022) [P.I. Arseev, M.A. Vasil’ev, M.I. Vysotskii, A.S. Gorskii, V.G. Drinfeld, A.B. Zamolodchikov, V.E. Zakharov, A.V. Litvinov, A.M. Polyakov, V.A. Rubakov, B.I. Feigin, M.A. Shifman, Aleksandr Abramovich Belavin (on his 80th birthday), Phys. Usp. 65 (10), 1104-1106 (2022)], ADS: 2022PhyU...65.1104A.
    13. B. Feigin, Y. Hu, Shuffle algebra realization of quantum affine superalgebra $U_{v}(\hat{\mathfrak{D}}(2,1;\theta))$, Journal of Algebra, 573, 539-560 (2021); arXiv:1909.12575, WoS: 000617653500022, Scopus: 2-s2.0-85099842173, ADS: 2019arXiv190912575F, InSpire: 1845226, РИНЦ: 44987913, zbMath: 1461.17016.
    14. B. Feigin, M. Jimbo, E. Mukhin, I. Vilkoviskiy, Deformations of W algebras via quantum toroidal algebras, Selecta Mathematica, New Series, 27(4), art. 52 (2021); arXiv:2003.04234, WoS: 000663348700003, Scopus: 2-s2.0-85108151375, ADS: 2020arXiv200304234F, РИНЦ: 46835180, zbMath: 07365294.
    15. M. Alfimov, B. Feigin, B. Hoare, A. Litvinov, Dual description of η-deformed OSP sigma models, J. High Energy Phys., 2012, 040 (2020); arXiv:2010.11927, WoS: 000600011100001, Scopus: 2-s2.0-85097371986, ADS: 2020JHEP...12..040A, InSpire: 1824457, РИНЦ: 45096204, MathSciNet: 4239412, zbMath: 1457.81053.
    16. B. Feigin, S. Gukov, VOA[M4], J. Math. Phys. 61, 012302 (2020); arXiv:1806.02470, WoS: 000518007900001, Scopus: 2-s2.0-85078037964, ADS: 2020JMP....61a2302F, InSpire: 912370, РИНЦ: 43243744, MathSciNet: 4047476, zbMath: 07177403.
    17. B. Feigin, M. Jimbo, E. Mukhin, The (glm,gln) duality in the quantum toroidal setting, Commun. Math. Phys., 367(2), 455-481 (2019); arXiv:1801.08433, WoS: 000463664000003, Scopus: 2-s2.0-85064226566, ADS: 2019CMaPh.367..455F, РИНЦ: 38709505, MathSciNet: 3936123, zbMath: 1414.81135.
    18. B. Feigin, M. Jimbo, E. Mukhin, Towards trigonometric deformation of sl2 coset VOA, J. Math. Phys. 60, 073505 (2019), WoS: 000480636400013, Scopus: 2-s2.0-85069510818, zbMath: 1416.81093.
    19. M. Bershtein, B. Feigin, G. Merzon, Plane partitions with a “pit”: generating functions and representation theory, Sel. Math. New Ser., 24(1), 21-62 (2018); arXiv:1512.08779, WoS: 000426469100003, Scopus: 2-s2.0-85042745675, ADS: 2015arXiv151208779B, РИНЦ: 35508016, MathSciNet: 3769725, zbMath: 1430.17044.
    20. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Finite type modules and Bethe ansatz equations, Ann. Henri Poincaré, 18(8), 2543–2579 (2017); arXiv:1609.05724, WoS: 000405671100001, Scopus: 2-s2.0-85017129329, ADS: 2017AnHP...18.2543F, InSpire: 1610070, РИНЦ: 31028502, MathSciNet: 3671544, zbMath: 1407.82019.
    21. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Finite Type Modules and Bethe Ansatz for Quantum Toroidal gl1, Commun. Math. Phys., 356(1), 285-327 (2017); arXiv:1603.02765, WoS: 000409821300009, Scopus: 2-s2.0-85027970512, ADS: 2017CMaPh.356..285F, InSpire: 1622383, РИНЦ: 31057233, MathSciNet: 3694029, zbMath: 1425.17020.
    22. B. Feigin, M. Jimbo, E. Mukhin, Integrals of motion from quantum toroidal algebras, J. Phys. A 50, 464001 (2017); arXiv:1705.07984, WoS: 000413538200001, Scopus: 2-s2.0-85032804430, ADS: 2017JPhA...50T4001F, РИНЦ: 31061630, MathSciNet: 3718902, zbMath: 1386.82037.
    23. Boris Feigin, Alexander Odesskii, Functional equations in algebra, arXiv:1709.00750, ADS: 2017arXiv170900750F.
    24. B. Feigin, M. Jimbo, E. Mukhin, An evaluation homomorphism for quantum toroidal gl(n) algebras, arXiv:1709.01592, ADS: 2017arXiv170901592F.
    25. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Branching rules for quantum toroidal gln, Advances in Mathematics, 300, 229-274 (2016); arXiv:1309.2147, WoS: 000381844100007, Scopus: 2-s2.0-84962040765, ADS: 2013arXiv1309.2147F, РИНЦ: 29466353, MathSciNet: 3534833, zbMath: 1402.17031.
    26. 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, ADS: 2016LMaPh.106...29B, InSpire: 1262366, РИНЦ: 26828450, MathSciNet: 3437987, zbMath: 1395.17058.
    27. B. Feigin, A. Tsymbaliuk, Bethe subalgebras of Uq(glˆn) via shuffle algebras, Sel. Math. New Ser., 22(2), 979-1011 (2016); arXiv:1504.01696, WoS: 000379167900014, Scopus: 2-s2.0-84951829724, ADS: 2015arXiv150401696F, РИНЦ: 26811939, MathSciNet: 3477340, zbMath: 1394.17051.
    28. 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, ADS: 2015arXiv150504269F, РИНЦ: 27104198.
    29. Б.Л. Фейгин, Интегрируемые системы, шафл-алгебры и уравнения Бете, Труды ММО, 77(2), 251-306 (2016) [Integrable Systems, Shuffle Algebras, and Bethe Equations, Trans. Moscow Math. Soc., 77, 203–246 (2016)], WoS: -, Scopus: 2-s2.0-85002271239, РИНЦ: 28931390, MathSciNet: 3643971, zbMath: 1416.17017.
    30. 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, ADS: 2013arXiv1302.2789B, РИНЦ: 24949654, MathSciNet: 3439090, zbMath: 1353.14007.
    31. 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, ADS: 2015JPhA...48x4001F, РИНЦ: 23983050, MathSciNet: 3355243, zbMath: 1318.81039.
    32. 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, WoS: 000366448800001, Scopus: 2-s2.0-84949802026, ADS: 2015SIGMA..11..100F, РИНЦ: 26923716, MathSciNet: 3431135, zbMath: 1331.33037.
    33. 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, РИНЦ: 21826393, MathSciNet: 3204677, zbMath: 1305.17015.
    34. 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, ADS: -, РИНЦ: 22834185, MathSciNet: 3494718, zbMath: 1354.17018.
    35. A. Berenstein, J. Bernstein, B. Feigin, S. Fomin, M. Kapranov, J. Weyman, Andrei Zelevinsky, 1953–2013., Transform. Groups, 19(1), 289–302 (2014).
    36. 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, ADS: 2012arXiv1209.1978C, РИНЦ: 20455523, MathSciNet: 3107536, zbMath: 1298.33029.
    37. 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, Commun. Math. Phys., 319(1), 269-301 (2013); arXiv:1111.2803, WoS: 000316490100007, Scopus: 2-s2.0-84868216610, ADS: 2013CMaPh.319..269B, InSpire: 945528, РИНЦ: 28673976, MathSciNet: 3034031, zbMath: 1263.81252.
    38. 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, ADS: 2012arXiv1204.5378F, РИНЦ: 20434349, MathSciNet: 3023228, zbMath: 1293.17017.
    39. 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, РИНЦ: 20730680, MathSciNet: 3087832, zbMath: 1282.17019.
    40. 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, ADS: 2012arXiv1206.5640B, РИНЦ: 20456372.
    41. 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, ADS: 2012JGP....62.1652B, РИНЦ: 17981998, MathSciNet: 2922027, zbMath: 1245.14043.
    42. 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, ADS: 2012JHEP...03..041A, InSpire: 1083009, РИНЦ: 24948554, MathSciNet: 2980199, zbMath: 1309.81112.
    43. 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, ADS: 2011arXiv1110.5310F, РИНЦ: 20486354, MathSciNet: 2959950, zbMath: 1315.17010.
    44. 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, ADS: 2011CMaPh.308..457B, InSpire: 866143, РИНЦ: 18012121, MathSciNet: 2851149, zbMath: 1247.81169.
    45. 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, ADS: 2009arXiv0907.3962F, РИНЦ: 16982029, MathSciNet: 2769319, zbMath: 1292.17024.
    46. 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, ADS: 2011JHEP...07..079B, InSpire: 901933, РИНЦ: 24935154, MathSciNet: 2875955, zbMath: 1298.81154, EDN: UZRBFV.
    47. 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, ADS: 2010arXiv1002.3100F, РИНЦ: 16989451, MathSciNet: 2793271, zbMath: 1278.17012.
    48. 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, ADS: 2010arXiv1002.3113F, InSpire: 1339276, РИНЦ: 17003709, MathSciNet: 2793272, zbMath: 1278.17013.
    49. 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, ADS: 2009arXiv0904.1679F, РИНЦ: 18033224, MathSciNet: 2854154, zbMath: 1242.14006.
    50. 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, ADS: 2009arXiv0907.2045F, РИНЦ: 16995995, MathSciNet: 2849640, zbMath: 1236.17020.
    51. 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, ADS: 2008arXiv0806.0072F, РИНЦ: 17003664, MathSciNet: 2803846, zbMath: 1285.14011.
    52. 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, ADS: 2008arXiv0812.4656F, РИНЦ: 18002303, MathSciNet: 2827177, zbMath: 1260.14015.
    53. 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)], WoS: 000298226300007, Scopus: 2-s2.0-83455211477, РИНЦ: 20730635, MathSciNet: 2961482, zbMath: 1271.17018.
    54. 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., World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xviii+498 pp. ISBN: 978-981-4324-36-6; 981-4324-36-1, MathSciNet: 2798314, zbMath: 1207.81004.
    55. 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, ADS: 2007arXiv0704.2464F, MathSciNet: 2867147, zbMath: 1242.81120.
    56. 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, ADS: 2007arXiv0705.2486F, InSpire: 753479, MathSciNet: 2867148, zbMath: -.
    57. 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, ADS: 2011ntqi.conf...35F, InSpire: 800100, MathSciNet: 2766985.
    58. 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, ADS: 2011arXiv1106.4088A, InSpire: 917468.
    59. B. Feigin, E. Frenkel, V.T. Laredo, Gaudin models with irregular singularities, Adv. Math., 223(3), 873-948 (2010); math/0612798, WoS: 000273495600004, Scopus: 2-s2.0-70450222913, ADS: 2006math.....12798F, InSpire: 735746, РИНЦ: 15325812, MathSciNet: 2565552, zbMath: 1186.81065.
    60. 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, WoS: 000283911600003, Scopus: 2-s2.0-78049314589, ADS: 2007arXiv0712.1183F, InSpire: -, РИНЦ: 16979008, MathSciNet: 2736168, zbMath: 1226.22017.
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    118. B.L. Feigin, A.V. Odesskii, Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras, NATO Science Series, 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 Theories 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, WoS: 000174167000007, ADS: 1999math.....12037O, MathSciNet: 1873567.
    119. B.L. Feigin, A.V. Odesskii, Quantized moduli spaces of the bundles on the elliptic curve and their applications, NATO Science Series, 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, WoS: 000174167000008, ADS: 1998math.....12059O, MathSciNet: 1873568.
    120. 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, Vol. 1, pp. 488-494 (2001). ISBN 5-89176-125-4, InSpire: 551014, MathSciNet: 1979306, zbMath: 1330.81114.
    121. B.L. Feigin, A.M. Semikhatov, Commutant of the Dq(2|1;α) 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, Vol.1, pp. 475-487 (2001). ISBN 5-89176-125-4, InSpire: 551013, MathSciNet: 1979305, zbMath: 330.81127.
    122. P. Bowcock, B.L. Feigin, A.M. Semikhatov, A. Taormina, sℓ̂(2|1) and D̂(2|1; α) as vertex operator extensions of dual affine sℓ(2) algebras, Commun. Math. Phys., 214 (3), 495-545 (2000); hep-th/9907171, WoS: 000165591400001, Scopus: 2-s2.0-0034311278, ADS: 2000CMaPh.214..495B, InSpire: 504208, РИНЦ: 13347571, MathSciNet: 1800859, zbMath: 0980.17016.
    123. 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, WoS: 000087444000004, Scopus: 2-s2.0-0345753787, ADS: 2000JNMP....7..170D, РИНЦ: 13357174, MathSciNet: 1763636, zbMath: 0962.17007.
    124. J. Ding, B. Feigin, Commutative quantum current operators, semi-infinite construction and functional models, Representation Theory 4(13), 330-341 (2000), WoS: -, Scopus: 2-s2.0-85009804029, РИНЦ: 29477186, MathSciNet: 1773865, zbMath: 1033.17016.
    125. 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 and D. Sternheimer. Dordrecht: Kluwer Academic Publishers, 2000. ISBN 0-7923-6541-0], WoS: 000166657700007, MathSciNet: 1805907, zbMath: 1015.17013.
    126. B.L. Feigin, A.M. Semikhatov, I.Yu. Tipunin, A Semi-Infinite Construction of Unitary N=2 Modules, hep-th/0004066, ADS: 2000hep.th....4066F, InSpire: 525977.
    127. B. Feigin, B. Shoikhet, Deformation quantization with traces and vanishing of the wheels, math/0004081, ADS: 2000math......4081F.
    128. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the ̂sl2 spaces of coinvariants II, math/0009198, ADS: 2000math......9198F.
    129. B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin, Combinatorics of the ̂sl2 spaces of coinvariants III, math/0012190, ADS: 2000math.....12190F.
    130. 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)], WoS: 000085132900002, Scopus: 2-s2.0-0033237082, ADS: 1999TMP...121.1462S, InSpire: 515086, РИНЦ: 13313724 , MathSciNet: 1761915, zbMath: 1025.17008.
    131. 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, ADS: 1999math......2103F, InSpire: 517073, MathSciNet: 1729358.
    132. 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, ADS: 1998math.....12093F, MathSciNet: 1729359, zbMath: 0974.17008.
    133. 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]; alg-geom/9711009, ADS: 1997alg.geom.11009F, MathSciNet: 1729361, zbMath: 0921.00044.
    134. A. Schwarz, A. Sossinsky, C. Roger, B Feigin, S. Tabachnikov, A. Astashkevich, Appendix: Personal notes, Amer. Math. Soc. Transl. Ser. 2, Vol. 194(44), 301-313 (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], MathSciNet: 1729370 , zbMath: 0960.01012.
    135. B. Feigin, T. Miwa, Extended vertex operator algebras and monomial bases, Series on Advances in Statistical Mechanics, 14, 366-390 (1999) [Statistical physics on the eve of the 21st century, World Sci. Publ., River Edge, NJ, 1999, 536 pp. ISBN10 9810236786, ISBN13 9789810236786, DOI:10.1142/3964 & 10.1142/9789814527880]; math/9901067, ADS: 1999math......1067F, InSpire: 482505, MathSciNet: 1704012, zbMath: 0949.00046.
    136. 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, ADS: 1998math......1084D, InSpire: 41144, MathSciNet: 1745256, zbMath: 0952.17011.
    137. J. Ding, B. Feigin, Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$, math/9905087, ADS: 1999math......5087D.
    138. 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, InSpire: 514066.
    139. 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, WoS: 000072325700002, Scopus: 2-s2.0-0032472514, ADS: 1998CMaPh.191..501F, InSpire: 441264, MathSciNet: 1608555, zbMath: 0952.17010.
    140. B. Enriquez, B. Feigin, V. Rubtsov, Separation of variables for Gaudin-Calogero systems, Compositio Mathematica, 110 (1), 1-16 (1998); q-alg/9605030, WoS: 000071999600001, Scopus: 2-s2.0-0002023557, ADS: 1996q.alg.....5030E, InSpire: 418863, РИНЦ: 13298156, MathSciNet: 1601650, zbMath: 0935.32013.
    141. 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, WoS: 000075264400026, Scopus: 2-s2.0-0032395819, ADS: 1998JMP....39.3865F, InSpire: 439518, MathSciNet: 1630542, zbMath: 0935.17011.
    142. 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, WoS: 000077798600004, Scopus: 2-s2.0-0032576508, ADS: 1998NuPhB.536..617F, InSpire: 470989, РИНЦ: 13279075, MathSciNet: 1663326, zbMath: 0948.81559.
    143. 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, MathSciNet: 1736159, zbMath: 0892.00020.
    144. 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], MathSciNet: 1736163, zbMath: 0923.16028.
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    146. 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.
    147. 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.
    148. B.L. Feigin, A.M. Semikhatov, Free-Field Resolutions of the Unitary N=2 Super-Virasoro Representations, hep-th/9810059, ADS: 1998hep.th...10059F, InSpire: 477589.
    149. A.V. Odesskii, B.L. Feigin, Quantized moduli spaces of the bundles on the elliptic curve and their applications, math/9812059, ADS: 1998math.....12059O.
    150. B. Feigin, A. Odesskii, A family of elliptic algebras, Int. Math. Res. Notices, 1997(11), 531-539 (1997), WoS: A1997XN22700003, Scopus: 2-s2.0-0038764719, ADS: -, РИНЦ: 24728719, MathSciNet: 1448336, zbMath: 0923.16027.
    151. A. Antonov, B. Feigin, Quantum group representations and the Baxter equation, Phys. Lett. B 392 (1-2), 115-122 (1997); hep-th/9603105, WoS: A1997WE56600017, Scopus: 2-s2.0-0043016617, ADS: 1997PhLB..392..115A, InSpire: 416810, РИНЦ: 13275420, MathSciNet: 1435226.
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    157. 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]; hep-th/9310022, WoS: -, Scopus: -, ADS: 1993hep.th...10022F, InSpire: 358803, MathSciNet: 1397275, zbMath: 0885.58034.
    158. B. Feigin, S. Parkhomenko, Regular representations of affine Kac-Moody algebras, Mathematical Physics Studies, Vol. 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 and V. Marchenko, Dordrecht: Kluwer Academic Publishers, 1996. ISBN 0-7923-3909-6]; hep-th/9308065, WoS: A1996BE98K00024, MathSciNet: 1385697, zbMath: 0919.17020.
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    161. 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, WoS: A1995RA44200012, Scopus: 2-s2.0-21844483557, ADS: 1995CMaPh.170..219F, InSpire: 374586, РИНЦ: 31192581.
    162. B. Feigin, E. Frenkel, Kac-Moody groups and integrability of soliton equations, Invent. Math., 120(2), 379-408 (1995); hep-th/9311171, WoS: A1995QV81500008, Scopus: 2-s2.0-0009372915, ADS: 1993hep.th...11171F, InSpire: 360667, РИНЦ: 30811815, MathSciNet: 1329047.
    163. 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, WoS: A1995RF58900005, Scopus: -, ADS: 1995MPLA...10.1209A, InSpire: 382433.
    164. O. Andreev, B. Feigin, On bosonization of 2d conformal field theories, Nucl. Phys. B 433 (3), 685-711 (1995); hep-th/9403081, WoS: A1995QB16500007, Scopus: 2-s2.0-0000578041, ADS: 1995NuPhB.433..685A, InSpire: 37553, РИНЦ: 30811192, MathSciNet: 1319285, zbMath: 1020.81616.
    165. 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, WoS: A1995TP54200012, Scopus: 2-s2.0-21844495659, ADS: 1995TMP...103..738E, InSpire: 376886, MathSciNet: 1472315.
    166. 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)], WoS: A1995TH47600002, Scopus: 2-s2.0-34249757721.
    167. B. Enriquez, B.L. Feigin, Integrals of motion of classical lattice sine-Gordon system, Recherche Coopérative sur Programme n°25, Vol. 47, 127-150, Prépubl. Inst. Rech. Math. Av., 1995/24, Univ. Louis Pasteur, Strasbourg, 1995. [Papers from the 57th, 58th, 59th and 60th Workshops held at the Université Louis Pasteur, Strasbourg, December 2-4, 1993, May 26-28, 1994, December 1-3, 1994, and June 8-10, 1995], MathSciNet: 1461310.
    168. B.L. Feigin, A.V. Odesskii, Vector bundles on elliptic curve and Sklyanin algebras, Preprint RIMS-1032, Sep 1995. 26pp; q-alg/9509021, ADS: 995q.alg.....9021F.
    169. 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), WoS: A1994NR68700008, Scopus: 2-s2.0-21344491876, ADS: 1994CMaPh.163..173F, РИНЦ: 31115415, MathSciNet: 1277938.
    170. 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, Scopus: 2-s2.0-21844490831, ADS: 1994CMaPh.166...27F, InSpire: 371500, РИНЦ: 31146216, MathSciNet: 1309540, zbMath: 0812.35103.
    171. B. Feigin, F. Malikov, Fusion algebra at a rational level and cohomology of nilpotent subalgebras of sl2, Lett. Math. Phys., 31 (4), 315-325 (1994); hep-th/9310004, WoS: A1994PG73300009, Scopus: 2-s2.0-0001394103, ADS: 1994LMaPh..31..315F, InSpire: 35962, РИНЦ: 30800273, MathSciNet: 1293496.
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    173. 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)], WoS: A1994QZ85000004, Scopus: 2-s2.0-0001061431.
    174. A.V. Odessky, B.L. Feigin, Sklyanin elliptic algebras. The Case of points of finite order, Preprint RIMS-986, Jul 1994. 15pp.
    175. 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)], WoS: A1993LQ87700005, Scopus: 2-s2.0-34249764695, MathSciNet: 1225909.
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    177. B. Feigin, F. Malikov, Integral Intertwining Operators and Complex Powers of Differential and 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, ADS: 1993hep.th....6137F, InSpire: 35296, MathSciNet: 1254725.
    178. B.L. Feigin, A.V. Stoyanovsky, Quasi-particles models for the representations of Lie algebras and geometry of flag manifold., hep-th/9308079.
    179. 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), WoS: A1992JZ40800009, Scopus: -, ADS: 1992IJMPA...7S.197F.
    180. B.L. Feigin, T. Nakanishi, H. Ooguri, The annihilating ideals of minimal models, Int. J. Mod. Phys. A 7, Suppl. 1A, 217-238 (1992), WoS: A1992JZ40800010, Scopus: -, ADS: 1992IJMPA...7S.217F, InSpire: 320727.
    181. B. Feigin, E. Frenkel, Free field resolutions in affine Toda field theories, Phys. Lett. B 276 (1-2), 79-86 (1992), WoS: A1992HH83000013, Scopus: 2-s2.0-0002243851, ADS: 1992PhLB..276...79F, InSpire: 319860, РИНЦ: 30811899, MathSciNet: 1153194.
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    184. 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)], WoS: A1991FK06400010, Scopus: 2-s2.0-0010769661, ADS: 1991CMaPh.137..617F, РИНЦ: 30813341, MathSciNet: 1105434.
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    186. 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 Satellite Conf. Proc., Springer, Tokyo, 1991..
    187. 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, MathSciNet: 1159206.
    188. B.L. Feigin, E.V. Frenkel, Affine Kac-Moody algebras and semi-infinite flag manifolds, Commun. Math. Phys., 128 (1), 161-189 (1990).
    189. B.L. Feigin, E. Frenkel, Representations of affine Kac-Moody algebras, bosonization and resolutions, Lett. Math. Phys. 19(4), 307-317 (1990).
    190. 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).
    191. B. Feigin, E. Frenkel, Bosonic ghost system and the Virasoro algebra, Phys. Lett. B 246(1-2), 71-74 (1990).
    192. B. Feigin, E. Frenkel, Quantization of the Drinfeld-Sokolov reduction, Phys. Lett. B 246(1-2), 75-81 (1990).
    193. 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.
    194. 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].
    195. B. Feigin, Schechtman, V., The honour to V. Knizhnik, Rend. Circ. Mat. Palermo (2), Suppl. No. 21, 9-10 (1989).
    196. Feĭgin, Boris, Tsygan, Boris, Riemann-Roch theorem and Lie algebra cohomology. I, Rend. Circ. Mat. Palermo (2), Suppl. No. 21, 15–52 (1989).
    197. B. Feigin, A. Fialowski, Cohomology of the nilpotent subalgebras of current Lie algebras, Studia Sci. Math. Hungar., 24(1), 1-9 (1989).
    198. 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)].
    199. 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).
    200. 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).
    201. 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)].
    202. 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)].
    203. 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].
    204. 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].
    205. 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)].
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    207. 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].
    208. 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].
    209. 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)].
    210. 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)], WoS: A1985AXK6400005, Scopus: 2-s2.0-0002478437.
    211. 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.
    212. B.L. Feigin, D.A. Leites, V.V. Serganova, Kac-Moody superalgebras, In: Group theoretical methods in physics, Vol. 1-3 (Zvenigorod, 1982), 631-637, Harwood Academic Publ., Chur, 1985.
    213. 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.
    214. 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)].
    215. 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)].
    216. 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].
    217. 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)], MathSciNet: 0701159, zbMath: 0538.17007.
    218. Б.Л. Фейгин, А. Фиаловски, О когомологиях нильпотентных 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)], MathSciNet: 0719826, zbMath: 0544.17010.
    219. 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)].
    220. 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)].
    221. 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.
    222. 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.
    223. Б.Л. Фейгин, Когомологии контактных алгебр Ли, C. R. Acad. Bulgare Sci., 35(8), 1029-1031 (1982), WoS: A1982PX58800002, MathSciNet: 0687396.
    224. 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)].
    225. 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)].
    226. 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)].
    227. 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)].
    228. 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)].
    229. 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)].
    230. 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)].
    231. 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)].