Feigin, B.; Jimbo, M.; Mukhin, E. Commutative subalgebra of a shuffle algebra associated with quantum toroidal \(\mathfrak{gl}_{m|n}\). (English) Zbl 07808763 J. Pure Appl. Algebra 228, No. 6, Article ID 107619, 30 p. (2024). MSC: 82B23 17B80 20G42 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Pure Appl. Algebra 228, No. 6, Article ID 107619, 30 p. (2024; Zbl 07808763) Full Text: DOI arXiv
Cheng, Miranda C. N.; Chun, Sungbong; Feigin, Boris; Ferrari, Francesca; Gukov, Sergei; Harrison, Sarah M.; Passaro, Davide 3-manifolds and VOA characters. (English) Zbl 07804751 Commun. Math. Phys. 405, No. 2, Paper No. 44, 76 p. (2024). MSC: 81Txx 17Bxx 57Kxx PDFBibTeX XMLCite \textit{M. C. N. Cheng} et al., Commun. Math. Phys. 405, No. 2, Paper No. 44, 76 p. (2024; Zbl 07804751) Full Text: DOI arXiv OA License
Feigin, Boris; Jimbo, Michio; Mukhin, Evgeny Quantum toroidal comodule algebra of type \(A_{n-1}\) and integrals of motion. (English) Zbl 1492.81062 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 051, 31 p. (2022). MSC: 81R10 81R12 17B69 17B80 PDFBibTeX XMLCite \textit{B. Feigin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 051, 31 p. (2022; Zbl 1492.81062) Full Text: DOI arXiv
Arakawa, Tomoyuki; Creutzig, Thomas; Feigin, Boris Urod algebras and translation of \(W\)-algebras. (English) Zbl 1501.17021 Forum Math. Sigma 10, Paper No. e33, 31 p. (2022). MSC: 17B65 17B69 PDFBibTeX XMLCite \textit{T. Arakawa} et al., Forum Math. Sigma 10, Paper No. e33, 31 p. (2022; Zbl 1501.17021) Full Text: DOI arXiv
Feigin, Boris; Kanel-Belov, Alexei; Khoroshkin, Anton On finite dimensionality of homology of subalgebras of vector fields. arXiv:2211.08510 Preprint, arXiv:2211.08510 [math.QA] (2022). MSC: 17B56 17B66 BibTeX Cite \textit{B. Feigin} et al., ``On finite dimensionality of homology of subalgebras of vector fields'', Preprint, arXiv:2211.08510 [math.QA] (2022) Full Text: arXiv OA License
Feigin, Boris; Hu, Yue Shuffle algebra realization of quantum affine superalgebra \(U_v( \widehat{\mathfrak{D}}(2, 1; \theta))\). (English) Zbl 1461.17016 J. Algebra 573, 539-560 (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{Y. Hu}, J. Algebra 573, 539--560 (2021; Zbl 1461.17016) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Mukhin, E. Towards trigonometric deformation of \(\hat{\mathfrak{sl}}_2\) coset VOA. (English) Zbl 1416.81093 J. Math. Phys. 60, No. 7, 073507, 17 p. (2019). MSC: 81S05 17B69 81R05 81R10 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Math. Phys. 60, No. 7, 073507, 17 p. (2019; Zbl 1416.81093) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Mukhin, E. The \({(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}\) duality in the quantum toroidal setting. (English) Zbl 1414.81135 Commun. Math. Phys. 367, No. 2, 455-481 (2019). MSC: 81R50 17B67 81R10 16T25 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 367, No. 2, 455--481 (2019; Zbl 1414.81135) Full Text: DOI arXiv
Feĭgin, B. L. Extensions of vertex algebras. Constructions and applications. (English. Russian original) Zbl 1432.17031 Russ. Math. Surv. 72, No. 4, 707-763 (2017); translation from Usp. Mat. Nauk 72, No. 4, 131-190 (2017). MSC: 17B69 17B67 17B68 81R12 PDFBibTeX XMLCite \textit{B. L. Feĭgin}, Russ. Math. Surv. 72, No. 4, 707--763 (2017; Zbl 1432.17031); translation from Usp. Mat. Nauk 72, No. 4, 131--190 (2017) Full Text: DOI
Feigin, B.; Jimbo, M.; Mukhin, E. Integrals of motion from quantum toroidal algebras. (English) Zbl 1386.82037 J. Phys. A, Math. Theor. 50, No. 46, Article ID 464001, 28 p. (2017). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 82C23 17B67 16Txx 82B23 35Q53 11M55 17B68 81R10 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Phys. A, Math. Theor. 50, No. 46, Article ID 464001, 28 p. (2017; Zbl 1386.82037) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\). (English) Zbl 1425.17020 Commun. Math. Phys. 356, No. 1, 285-327 (2017). MSC: 17B37 22E40 81R10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 356, No. 1, 285--327 (2017; Zbl 1425.17020) Full Text: DOI arXiv
Feigin, Boris L. Integrable systems, shuffle algebras, and Bethe equations. (English. Russian original) Zbl 1416.17017 Trans. Mosc. Math. Soc. 2016, 203-246 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 2, 251-306 (2016). MSC: 17B69 17B80 17B67 16T20 82B23 PDFBibTeX XMLCite \textit{B. L. Feigin}, Trans. Mosc. Math. Soc. 2016, 203--246 (2016; Zbl 1416.17017); translation from Tr. Mosk. Mat. O.-va 77, No. 2, 251--306 (2016) Full Text: DOI
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Branching rules for quantum toroidal \(\mathfrak{gl}_n\). (English) Zbl 1402.17031 Adv. Math. 300, 229-274 (2016). MSC: 17B67 17B37 17B69 PDFBibTeX XMLCite \textit{B. Feigin} et al., Adv. Math. 300, 229--274 (2016; Zbl 1402.17031) Full Text: DOI arXiv
Feigin, Boris; Tsymbaliuk, Alexander Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras. (English) Zbl 1394.17051 Sel. Math., New Ser. 22, No. 2, 979-1011 (2016). MSC: 17B67 17B37 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{A. Tsymbaliuk}, Sel. Math., New Ser. 22, No. 2, 979--1011 (2016; Zbl 1394.17051) Full Text: DOI arXiv
Bershtein, Mikhail; Feigin, Boris; Litvinov, Alexei Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations. (English) Zbl 1395.17058 Lett. Math. Phys. 106, No. 1, 29-56 (2016). MSC: 17B69 17B67 17B68 81R10 PDFBibTeX XMLCite \textit{M. Bershtein} et al., Lett. Math. Phys. 106, No. 1, 29--56 (2016; Zbl 1395.17058) Full Text: DOI arXiv
Feigin, B. L. Commutative vertex algebras and their degenerations. (English. Russian original) Zbl 1354.17018 Funct. Anal. Appl. 48, No. 3, 175-182 (2014); translation from Funkts. Anal Prilozh. 48, No. 3, 24-33 (2014). MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{B. L. Feigin}, Funct. Anal. Appl. 48, No. 3, 175--182 (2014; Zbl 1354.17018); translation from Funkts. Anal Prilozh. 48, No. 3, 24--33 (2014) Full Text: DOI
Mutafyan, G. S.; Feĭgin, B. L. Characters of representations of the quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}}}_1\): plane partitions with “stands”. (English. Russian original) Zbl 1305.17015 Funct. Anal. Appl. 48, No. 1, 36-48 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 46-60 (2014). MSC: 17B37 17B67 05A17 81R10 PDFBibTeX XMLCite \textit{G. S. Mutafyan} and \textit{B. L. Feĭgin}, Funct. Anal. Appl. 48, No. 1, 36--48 (2014; Zbl 1305.17015); translation from Funkts. Anal. Prilozh. 48, No. 1, 46--60 (2014) Full Text: DOI
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Representations of quantum toroidal \(\mathfrak{gl}_n\). (English) Zbl 1293.17017 J. Algebra 380, 78-108 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B10 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Algebra 380, 78--108 (2013; Zbl 1293.17017) Full Text: DOI Link
Mutafyan, G. S.; Feigin, B. L. The quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}_1}}\): calculation of characters of some representations as generating functions of plane partitions. (English. Russian original) Zbl 1282.17019 Funct. Anal. Appl. 47, No. 1, 50-61 (2013); translation from Funkts. Anal. Prilozh. 47, No. 1, 62-76 (2013). MSC: 17B37 05A17 17B67 81R10 PDFBibTeX XMLCite \textit{G. S. Mutafyan} and \textit{B. L. Feigin}, Funct. Anal. Appl. 47, No. 1, 50--61 (2013; Zbl 1282.17019); translation from Funkts. Anal. Prilozh. 47, No. 1, 62--76 (2013) Full Text: DOI
Buryak, A.; Feigin, B. L. Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes. (English) Zbl 1307.14007 Iohara, Kenji (ed.) et al., Symmetries, integrable systems and representations. Proceedings of the conference on infinite analysis: frontier of integrability, Tokyo, Japan, July 25–29, 2011 and the conference on symmetries, integrable systems and representations, Lyon, France, December 13–16, 2011. London: Springer (ISBN 978-1-4471-4862-3/hbk; 978-1-4471-4863-0/ebook). Springer Proceedings in Mathematics & Statistics 40, 15-33 (2013). MSC: 14C05 05E10 17B10 14D20 PDFBibTeX XMLCite \textit{A. Buryak} and \textit{B. L. Feigin}, Springer Proc. Math. Stat. 40, 15--33 (2013; Zbl 1307.14007) Full Text: DOI arXiv
Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. (English) Zbl 1285.14011 Sel. Math., New Ser. 17, No. 2, 337-361 (2011). MSC: 14D20 14F43 17B10 17B35 PDFBibTeX XMLCite \textit{B. Feigin} et al., Sel. Math., New Ser. 17, No. 2, 337--361 (2011; Zbl 1285.14011) Full Text: DOI arXiv
Braverman, Alexander; Feigin, Boris; Finkelberg, Michael; Rybnikov, Leonid A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps’ spaces. (English) Zbl 1247.81169 Commun. Math. Phys. 308, No. 2, 457-478 (2011). Reviewer: Daniel H. T. Franco (Viçosa) MSC: 81R10 14D21 14F43 17B81 PDFBibTeX XMLCite \textit{A. Braverman} et al., Commun. Math. Phys. 308, No. 2, 457--478 (2011; Zbl 1247.81169) Full Text: DOI arXiv
Feigin, Boris; Feigin, Evgeny; Littelmann, Peter Zhu’s algebras, \(C_{2}\)-algebras and abelian radicals. (English) Zbl 1292.17024 J. Algebra 329, No. 1, 130-146 (2011). Reviewer: Dražen Adamović (Zagreb) MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Algebra 329, No. 1, 130--146 (2011; Zbl 1292.17024) Full Text: DOI arXiv
Feigin, B.; Frenkel, E.; Toledano Laredo, V. Gaudin models with irregular singularities. (English) Zbl 1186.81065 Adv. Math. 223, No. 3, 873-948 (2010). Reviewer: Chen Yong-Qing (Shenzhen) MSC: 81R10 37K30 17B67 81R12 82B23 PDFBibTeX XMLCite \textit{B. Feigin} et al., Adv. Math. 223, No. 3, 873--948 (2010; Zbl 1186.81065) Full Text: DOI arXiv
Feigin, B.; Hashizume, K.; Hoshino, Ayumu; Shiraishi, Jun’ichi; Yanagida, S. A commutative algebra on degenerate \(\mathbb{CP}^1\) and Macdonald polynomials. (English) Zbl 1248.33034 J. Math. Phys. 50, No. 9, 095215, 42 p. (2009). MSC: 33D80 33D52 16S80 16W50 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Math. Phys. 50, No. 9, 095215, 42 p. (2009; Zbl 1248.33034) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level. (English) Zbl 1169.81015 Lett. Math. Phys. 88, No. 1-3, 163-173 (2009). MSC: 81R10 22E70 PDFBibTeX XMLCite \textit{B. Feigin} et al., Lett. Math. Phys. 88, No. 1--3, 163--173 (2009; Zbl 1169.81015) Full Text: DOI arXiv
Feigin, Boris; Feigin, Evgeny; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Evgeny Principal \(\widehat{{\mathfrak{sl}}_3}\) subspaces and quantum Toda Hamiltonian. (English) Zbl 1206.17012 Miwa, Tetsuji (ed.) et al., Algebraic analysis and around in honor of Professor Masaki Kashiwara’s 60th birthday. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-51-8/hbk). Advanced Studies in Pure Mathematics 54, 109-166 (2009). Reviewer: Valentina Golubeva (Moskva) MSC: 17B37 17B65 81R12 PDFBibTeX XMLCite \textit{B. Feigin} et al., Adv. Stud. Pure Math. 54, 109--166 (2009; Zbl 1206.17012) Full Text: arXiv
Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Takeyama, Y. A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\). (English) Zbl 1162.17025 Publ. Res. Inst. Math. Sci. 44, No. 2, 213-257 (2008). Reviewer: Dražen Adamović (Zagreb) MSC: 17B68 81R10 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., Publ. Res. Inst. Math. Sci. 44, No. 2, 213--257 (2008; Zbl 1162.17025) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. Sets of rigged paths with Virasoro characters. (English) Zbl 1138.17011 Ramanujan J. 15, No. 1, 123-145 (2008). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B68 17B10 17B67 81R10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Ramanujan J. 15, No. 1, 123--145 (2008; Zbl 1138.17011) Full Text: DOI arXiv
Feigin, Boris; Shoikhet, Boris On \([A,A]/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras. (English) Zbl 1174.17020 Math. Res. Lett. 14, No. 5-6, 781-795 (2007). MSC: 17B66 17B55 17B70 16S10 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{B. Shoikhet}, Math. Res. Lett. 14, No. 5--6, 781--795 (2007; Zbl 1174.17020) Full Text: DOI arXiv
Feigin, B.; Feigin, E. Two-dimensional current algebras and affine fusion product. (English) Zbl 1132.17013 J. Algebra 313, No. 1, 176-198 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Feigin}, J. Algebra 313, No. 1, 176--198 (2007; Zbl 1132.17013) Full Text: DOI arXiv
Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT. (English) Zbl 1177.17012 Theor. Math. Phys. 148, No. 3, 1210-1235 (2006); translation from Teor. Mat. Fiz. 148, No. 3, 398-427 (2006). MSC: 17B37 17B81 81T40 16G20 PDFBibTeX XMLCite \textit{A. M. Gainutdinov} et al., Theor. Math. Phys. 148, No. 3, 1210--1235 (2006; Zbl 1177.17012); translation from Teor. Mat. Fiz. 148, No. 3, 398--427 (2006) Full Text: DOI arXiv
Feigin, Boris; Feigin, Evgeny Homological realization of restricted Kostka polynomials. (English) Zbl 1162.17313 Int. Math. Res. Not. 2005, No. 33, 1997-2029 (2005). MSC: 17B67 17B55 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Feigin}, Int. Math. Res. Not. 2005, No. 33, 1997--2029 (2005; Zbl 1162.17313) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\). (English) Zbl 1135.17303 Commun. Math. Phys. 257, No. 2, 395-423 (2005). MSC: 17B68 17B67 81R10 17B10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 257, No. 2, 395--423 (2005; Zbl 1135.17303) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T. Two character formulas for \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants. (English) Zbl 1080.81531 Int. J. Mod. Phys. A 19, Suppl. May, 134-154 (2004). MSC: 81R10 17B10 81T40 PDFBibTeX XMLCite \textit{B. Feigin} et al., Int. J. Mod. Phys. A 19, 134--154 (2004; Zbl 1080.81531) Full Text: DOI arXiv
Feigin, B.; Loktev, S. Deformation of Weyl modules and generalized parking functions. (English) Zbl 1083.17008 Int. Math. Res. Not. 2004, No. 51, 2719-2750 (2004). Reviewer: Dražen Adamović (Zagreb) MSC: 17B67 17B10 05E15 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Loktev}, Int. Math. Res. Not. 2004, No. 51, 2719--2750 (2004; Zbl 1083.17008) Full Text: DOI arXiv
Feigin, Boris; Feigin, Evgeny Schubert varieties and the fusion products. (English) Zbl 1095.17009 Publ. Res. Inst. Math. Sci. 40, No. 3, 625-668 (2004). Reviewer: John Lorch (Muncie) MSC: 17B67 14M15 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Feigin}, Publ. Res. Inst. Math. Sci. 40, No. 3, 625--668 (2004; Zbl 1095.17009) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Kedem, R.; Loktev, S.; Miwa, T. Spaces of coinvariants and fusion product. I: From equivalence theorem to Kostka polynomials. (English) Zbl 1129.17304 Duke Math. J. 125, No. 3, 549-588 (2004). MSC: 17B67 17B81 81R10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Duke Math. J. 125, No. 3, 549--588 (2004; Zbl 1129.17304) Full Text: DOI arXiv
Feigin, B.; Loktev, S. Multi-dimensional Weyl modules and symmetric functions. (English) Zbl 1100.17005 Commun. Math. Phys. 251, No. 3, 427-445 (2004). Reviewer: Vesselin Drensky (Sofia) MSC: 17B20 05E05 17B10 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Loktev}, Commun. Math. Phys. 251, No. 3, 427--445 (2004; Zbl 1100.17005) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Kashiwara, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\). (English) Zbl 1106.17016 Eur. J. Comb. 25, No. 8, 1197-1229 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B65 81R12 81R50 PDFBibTeX XMLCite \textit{B. Feigin} et al., Eur. J. Comb. 25, No. 8, 1197--1229 (2004; Zbl 1106.17016) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Kedem, R.; Loktev, S.; Miwa, T. Spaces of coinvariants and fusion product. II: \(\widehat{\mathfrak{sl}_2}\) character formulas in terms of Kostka polynomials. (English) Zbl 1160.17312 J. Algebra 279, No. 1, 147-179 (2004). MSC: 17B67 05E05 05E10 PDFBibTeX XMLCite \textit{B. Feigin} et al., J. Algebra 279, No. 1, 147--179 (2004; Zbl 1160.17312) Full Text: DOI arXiv
Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene; Takeyama, Yoshihiro Fermionic formulas for \((k,3)\)-admissible configurations. (English) Zbl 1134.17311 Publ. Res. Inst. Math. Sci. 40, No. 1, 125-162 (2004). MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Publ. Res. Inst. Math. Sci. 40, No. 1, 125--162 (2004; Zbl 1134.17311) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. Addendum to ‘Bosonic formulas for (\(k\), \(l\))-admissible partitions’. (English) Zbl 1039.05009 Ramanujan J. 7, No. 4, 519-530 (2003). MSC: 05A19 05A17 05A30 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., Ramanujan J. 7, No. 4, 519--530 (2003; Zbl 1039.05009) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. Bosonic formulas for (\(k, l\))-admissible partitions. (English) Zbl 1039.05008 Ramanujan J. 7, No. 4, 485-517 (2003). MSC: 05A19 05A17 05A30 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., Ramanujan J. 7, No. 4, 485--517 (2003; Zbl 1039.05008) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials. (English) Zbl 1069.33019 Int. Math. Res. Not. 2003, No. 18, 1015-1034 (2003). Reviewer: Youssef Ben Cheikh (Monastir) MSC: 33D52 05E05 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., Int. Math. Res. Not. 2003, No. 18, 1015--1034 (2003; Zbl 1069.33019) Full Text: DOI arXiv
Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. Combinatorics of the \(\widehat {\mathfrak{sl}}_2\) coinvariants: Dual functional realization and recursion. (English) Zbl 1026.17031 Compos. Math. 134, No. 2, 193-241 (2002). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B69 05A19 05E10 PDFBibTeX XMLCite \textit{B. Feigin} et al., Compos. Math. 134, No. 2, 193--241 (2002; Zbl 1026.17031) Full Text: DOI
Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. Combinatorics of the \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants: loop Heisenberg modules and recursion. (English) Zbl 1005.81080 Sel. Math., New Ser. 8, No. 3, 419-474 (2002). MSC: 17B69 05E20 81R12 81T40 PDFBibTeX XMLCite \textit{B. Feigin} et al., Sel. Math., New Ser. 8, No. 3, 419--474 (2002; Zbl 1005.81080) Full Text: DOI arXiv
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. A differential ideal of symmetric polynomials spanned by Jack polynomials at \(\beta=-(r-1)(k+1)\). (English) Zbl 1012.05153 Int. Math. Res. Not. 2002, No. 23, 1223-1237 (2002). Reviewer: Stephanie van Willigenburg (Vancouver) MSC: 05E05 33C99 17B99 PDFBibTeX XMLCite \textit{B. Feigin} et al., Int. Math. Res. Not. 2002, No. 23, 1223--1237 (2002; Zbl 1012.05153) Full Text: DOI arXiv
Feigin, B.; Feigin, E. Integrable \(\hat{\mathfrak{sl}_2}\)-modules as infinite tensor products. arXiv:math/0205281 Preprint, arXiv:math/0205281 [math.QA] (2002). MSC: 17B67 BibTeX Cite \textit{B. Feigin} and \textit{E. Feigin}, ``Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products'', Preprint, arXiv:math/0205281 [math.QA] (2002) Full Text: arXiv
Feigin, B. L.; Semikhatov, A. M.; Tipunin, I. Yu Possible applications of the semi-infinite construction to integrable lattice models and the modular functor in CFT. (English) Zbl 1330.81114 Semikhatov, A. M. (ed.) et al., Quantization, gauge theory, and strings. Vol. I. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5–10, 2000. Moscow: Scientific World (ISBN 5-89176-125-4). 488-487 (2001). MSC: 81R12 17B81 81T40 81R10 PDFBibTeX XMLCite \textit{B. L. Feigin} et al., in: Quantization, gauge theory, and strings. Vol. I. Proceedings of the international conference dedicated to the memory of Professor Efim Fradkin, Moscow, Russia, June 5--10, 2000. Moscow: Scientific World. 488--487 (2001; Zbl 1330.81114)
Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. Semi-infinite realization of unitary representations of the \(N=2\) algebra and related constructions. (English. Russian original) Zbl 0998.81032 Theor. Math. Phys. 126, No. 1, 1-47 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 3-62 (2001). Reviewer: Gerald Hofmann (Leipzig) MSC: 81R10 17B68 17B81 PDFBibTeX XMLCite \textit{A. M. Semikhatov} et al., Theor. Math. Phys. 126, No. 1, 1--47 (2001; Zbl 0998.81032); translation from Teor. Mat. Fiz. 126, No. 1, 3--62 (2001) Full Text: DOI
Feĭgin, B. L.; Odesskiĭ, A. V. Quantized moduli spaces of the bundles on the elliptic curve and their applications. (English) Zbl 1076.14520 Pakuliak, Stanislav (ed.) et al., 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. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7183-6). NATO Sci. Ser. II, Math. Phys. Chem. 35, 123-137 (2001). Reviewer: Zhenbo Qin (MR1873568) MSC: 14H60 14D20 17B67 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{A. V. Odesskiĭ}, NATO Sci. Ser. II, Math. Phys. Chem. 35, 123--137 (2001; Zbl 1076.14520) Full Text: arXiv
Feigin, B. L.; Loktev, S. A. On the finitization of the Gordon identities. (English. Russian original) Zbl 1085.17015 Funct. Anal. Appl. 35, No. 1, 44-51 (2001); translation from Funkts. Anal. Prilozh. 35, No. 1, 53-61 (2001). MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{S. A. Loktev}, Funct. Anal. Appl. 35, No. 1, 44--51 (2001; Zbl 1085.17015); translation from Funkts. Anal. Prilozh. 35, No. 1, 53--61 (2001) Full Text: DOI arXiv
Feigin, B. L.; Semikhatov, A. M. The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\). (English) Zbl 0971.81044 Nucl. Phys., B 610, No. 3, 489-530 (2001). MSC: 81R50 17B80 81R10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{A. M. Semikhatov}, Nucl. Phys., B 610, No. 3, 489--530 (2001; Zbl 0971.81044) Full Text: DOI arXiv
Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants. (English) Zbl 1004.17001 Transform. Groups 6, No. 1, 25-52 (2001). Reviewer: Stefano Capparelli (Roma) MSC: 17B05 81R05 PDFBibTeX XMLCite \textit{B. Feigin} et al., Transform. Groups 6, No. 1, 25--52 (2001; Zbl 1004.17001) Full Text: DOI arXiv
Bowcock, P.; Feigin, B. L.; Semikhatov, A. M.; Taormina, A. \(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras. (English) Zbl 0980.17016 Commun. Math. Phys. 214, No. 3, 495-545 (2000). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B60 PDFBibTeX XMLCite \textit{P. Bowcock} et al., Commun. Math. Phys. 214, No. 3, 495--545 (2000; Zbl 0980.17016) Full Text: DOI arXiv
Feigin, B.; Loktev, S. On generalized Kostka polynomials and the quantum Verlinde rule. (English) Zbl 0974.17008 Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 61-79 (1999). Reviewer: Stefano Capparelli (Roma) MSC: 17B10 81R10 81T40 33D80 17B67 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Loktev}, Transl., Ser. 2, Am. Math. Soc. 194, 61--79 (1999; Zbl 0974.17008) Full Text: arXiv
Feigin, Boris; Frenkel, Edward Integrable hierarchies and Wakimoto modules. (English) Zbl 0977.17020 Astashkevich, Alexander (ed.) et al., Differential topology, infinite-dimensional Lie algebras, and applications. D. B. Fuchs’ 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 194(44), 27-60 (1999). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B67 37K30 35Q53 17B80 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Transl., Ser. 2, Am. Math. Soc. 194, 27--60 (1999; Zbl 0977.17020) Full Text: arXiv
Feigin, B. L.; Semikhatov, A. M.; Tipunin, I. Yu. Equivalence between chain categories of representations of affine \(\text{sl}(2)\) and \(N=2\) superconformal algebras. (English) Zbl 0935.17011 J. Math. Phys. 39, No. 7, 3865-3905 (1998). MSC: 17B67 81R10 17B81 PDFBibTeX XMLCite \textit{B. L. Feigin} et al., J. Math. Phys. 39, No. 7, 3865--3905 (1998; Zbl 0935.17011) Full Text: DOI arXiv
Feigin, Boris; Frenkel, Edward Quantum \({\mathcal W}\)-algebras and elliptic algebras. (English) Zbl 0871.17007 Commun. Math. Phys. 178, No. 3, 653-678 (1996). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B37 16W30 17B67 81R50 17B68 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 178, No. 3, 653--678 (1996; Zbl 0871.17007) Full Text: DOI arXiv
Feigin, B.; Parkhomenko, S. Regular representation of affine Kac-Moody algebras. (English) Zbl 0919.17020 Boutet de Monvel, Anne (ed.) et al., Algebraic and geometric methods in mathematical physics. Proceedings of the 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, September 1-14, 1993. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 19, 415-424 (1996). Reviewer: K.C.Misra (Raleigh) MSC: 17B67 17B10 22E67 81R10 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{S. Parkhomenko}, Math. Phys. Stud. 19, 415--424 (1996; Zbl 0919.17020) Full Text: arXiv
Feigin, Boris; Frenkel, Edward Integrals of motion and quantum groups. (English) Zbl 0885.58034 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. Lect. Notes Math. 1620, 349-418 (1996). Reviewer: A.Van Daele (Heverlee) MSC: 37J35 37K10 17B37 53D50 17B67 81R50 81S05 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Lect. Notes Math. 1620, 349--418 (1996; Zbl 0885.58034) Full Text: arXiv
Feigin, B. L.; Loktev, S. A. Cohomology of nilpotent subalgebras of the algebra \(\widehat{sl_2}\). (English. Russian original) Zbl 0901.17014 Funct. Anal. Appl. 30, No. 4, 285-287 (1996); translation from Funkts. Anal. Prilozh. 30, No. 4, 80-83 (1996). Reviewer: A.Rudakov (Trondheim) MSC: 17B56 17B65 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{S. A. Loktev}, Funct. Anal. Appl. 30, No. 4, 285--287 (1996; Zbl 0901.17014); translation from Funkts. Anal. Prilozh. 30, No. 4, 80--83 (1996) Full Text: DOI
Feigin, Boris; Frenkel, Edward Kac-Moody groups and integrability of soliton equations. (English) Zbl 0829.58021 Invent. Math. 120, No. 2, 379-408 (1995). Reviewer: W.J.Satzer jun.(St.Paul) MSC: 37J35 37K10 35Q53 81T40 17B67 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Invent. Math. 120, No. 2, 379--408 (1995; Zbl 0829.58021) Full Text: DOI arXiv EuDML
Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander On algebraic equations satisfied by hypergeometric correlators in WZW models. II. (English) Zbl 0842.17043 Commun. Math. Phys. 170, No. 1, 219-247 (1995). Reviewer: S.Khoroshkin (Moskva) MSC: 17B67 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 170, No. 1, 219--247 (1995; Zbl 0842.17043) Full Text: DOI arXiv
Stoyanovsky, A. V.; Feigin, B. L. Functional models of the representations of current algebras and semi-infinite Schubert cells. (English. Russian original) Zbl 0905.17030 Funct. Anal. Appl. 28, No. 1, 55-72 (1994); translation from Funkts. Anal. Prilozh. 28, No. 1, 68-90 (1994). MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{A. V. Stoyanovsky} and \textit{B. L. Feigin}, Funct. Anal. Appl. 28, No. 1, 55--72 (1994; Zbl 0905.17030); translation from Funkts. Anal. Prilozh. 28, No. 1, 68--90 (1994) Full Text: DOI
Stoyanovskiĭ, A. V.; Feĭgin, B. L. A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space of \(G\)-bundles. (English. Russian original) Zbl 0857.17021 Funct. Anal. Appl. 28, No. 4, 257-275 (1994); translation from Funkts. Anal. Prilozh. 28, No. 4, 42-65 (1994). Reviewer: Yu. N. Bespalov (Kiev) MSC: 17B67 22E67 81R10 PDFBibTeX XMLCite \textit{A. V. Stoyanovskiĭ} and \textit{B. L. Feĭgin}, Funct. Anal. Appl. 28, No. 4, 257--275 (1994; Zbl 0857.17021); translation from Funkts. Anal. Prilozh. 28, No. 4, 42--65 (1994) Full Text: DOI
Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai Gaudin model, Bethe ansatz and critical level. (English) Zbl 0812.35103 Commun. Math. Phys. 166, No. 1, 27-62 (1994). MSC: 82B23 35Q40 17B67 81R10 81R50 PDFBibTeX XMLCite \textit{B. Feigin} et al., Commun. Math. Phys. 166, No. 1, 27--62 (1994; Zbl 0812.35103) Full Text: DOI arXiv
Feigin, Boris; Malikov, Feodor Fusion algebra at a rational level and cohomology of nilpotent subalgebras of \(\widehat{\mathfrak sl}(2)\). (English) Zbl 0992.81033 Lett. Math. Phys. 31, No. 4, 315-325 (1994). MSC: 81R10 17B67 81T40 17B56 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{F. Malikov}, Lett. Math. Phys. 31, No. 4, 315--325 (1994; Zbl 0992.81033) Full Text: DOI arXiv
Feigin, Boris; Malikov, Feodor Integral intertwining operators and complex powers of differential and \(q\)-difference operators. (English) Zbl 0835.17018 Fuchs, Dmitry (ed.), Unconventional Lie algebras. Providence, RI: American Mathematical Society. Adv. Sov. Math. 17, 15-63 (1993). Reviewer: S.Khoroshkin (Moskva) MSC: 17B67 33D55 17B37 58J15 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{F. Malikov}, Adv. Sov. Math. 17, 15--63 (1993; Zbl 0835.17018) Full Text: arXiv
Feigin, Boris; Frenkel, Edward Erratum: Semi-infinite Weil complex and the Virasoro algebra. (English) Zbl 0753.17033 Commun. Math. Phys. 147, No. 3, 647-648 (1992). MSC: 17B56 17B68 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 147, No. 3, 647--648 (1992; Zbl 0753.17033) Full Text: DOI
Feigin, Boris; Frenkel, Edward Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras. (English) Zbl 0925.17022 Int. J. Mod. Phys. A 7, Suppl. 1A, 197-215 (1992). MSC: 17B67 17B37 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Int. J. Mod. Phys. A 7, 197--215 (1992; Zbl 0925.17022) Full Text: DOI
Feigin, Boris L. Conformal field theory and cohomologies of the Lie algebra of holomorphic vector fields on a complex curve. (English) Zbl 0757.17016 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 71-85 (1991). Reviewer: P.Presnajder (Bratislava) MSC: 17B66 17B56 81T40 58Z05 PDFBibTeX XMLCite \textit{B. L. Feigin}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 71--85 (1991; Zbl 0757.17016)
Feigin, Boris; Frenkel, Edward Duality in \(W\)-algebras. (English) Zbl 0790.17013 Int. Math. Res. Not. 1991, No. 6, 75-82 (1991). Reviewer: Jiří Vanžura (Brno) MSC: 17B67 17B63 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Int. Math. Res. Not. 1991, No. 6, 75--82 (1991; Zbl 0790.17013) Full Text: DOI
Feigin, Boris; Frenkel, Edward Semi-infinite Weil complex and the Virasoro algebra. (English) Zbl 0726.17035 Commun. Math. Phys. 137, No. 3, 617-639 (1991). Reviewer: D.Leites (Stockholm) MSC: 17B56 17B68 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Commun. Math. Phys. 137, No. 3, 617--639 (1991; Zbl 0726.17035) Full Text: DOI
Feigin, B. L. Differential operators on the moduli space of \(G\)-bundles on algebraic curve and Lie algebra cohomologies. (English) Zbl 0777.17015 Special functions, Proc. Hayashibara Forum, Okayama/Jap. 1990, ICM-90 Satell. Conf. Proc., 90-103 (1991). Reviewer: Andrew N. Pressley (London) MSC: 17B56 14H60 PDFBibTeX XMLCite \textit{B. L. Feigin}, in: Special functions. Proceedings of the Hayashibara Forum 1990, held in Fujisaki Institute, Okayama, Japan, August 16-20, 1990. Tokyo: Springer-Verlag. 90--103 (1991; Zbl 0777.17015)
Feigin, Boris; Frenkel, Edward Bosonic ghost system and the Virasoro algebra. (English) Zbl 1243.81086 Phys. Lett., B 246, No. 1-2, 71-74 (1990). MSC: 81R10 17B56 17B68 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Phys. Lett., B 246, No. 1--2, 71--74 (1990; Zbl 1243.81086) Full Text: DOI
Feigin, Boris; Frenkel, Edward Quantization of the Drinfel’d-Sokolov reduction. (English) Zbl 1242.17023 Phys. Lett., B 246, No. 1-2, 75-81 (1990). MSC: 17B67 17B80 37K30 81R10 81T70 PDFBibTeX XMLCite \textit{B. Feigin} and \textit{E. Frenkel}, Phys. Lett., B 246, No. 1--2, 75--81 (1990; Zbl 1242.17023) Full Text: DOI
Feĭgin, Boris L.; Frenkel, Edward V. Representations of affine Kac-Moody algebras and bosonization. (English) Zbl 0734.17011 Physics and mathematics of strings, Mem. Vol. Vadim Knizhnik, 271-316 (1990). Reviewer: V. Stukopin (Rostov-na-Donu) MSC: 17B67 22E65 81T40 17B10 PDFBibTeX XML
Feigin, B. L.; Fuks, D. B. Representations of the Virasoro algebra. (English) Zbl 0722.17020 Representation of Lie groups and related topics, Adv. Stud. Contemp. Math. 7, 465-554 (1990). Reviewer: D. Leites (Stockholm) MSC: 17B68 17B69 17B10 PDFBibTeX XML
Feigin, Boris L.; Frenkel, Edward V. Affine Kac-Moody algebras and semi-infinite flag manifolds. (English) Zbl 0722.17019 Commun. Math. Phys. 128, No. 1, 161-189 (1990). Reviewer: D. Leites (Stockholm) MSC: 17B67 17B10 14M15 17B56 81T40 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel}, Commun. Math. Phys. 128, No. 1, 161--189 (1990; Zbl 0722.17019) Full Text: DOI
Feigin, B. L.; Shekhtman, V. V.; Varchenko, A. N. On algebraic equations satisfied by correlators in Wess-Zumino-Witten models. (English) Zbl 0719.35080 Lett. Math. Phys. 20, No. 4, 291-297 (1990). MSC: 35Q53 17B67 81T99 PDFBibTeX XMLCite \textit{B. L. Feigin} et al., Lett. Math. Phys. 20, No. 4, 291--297 (1990; Zbl 0719.35080) Full Text: DOI
Feigin, Boris L.; Frenkel, Edward V. Representations of affine Kac-Moody algebras, bosonization and resolutions. (English) Zbl 0711.17012 Lett. Math. Phys. 19, No. 4, 307-317 (1990). Reviewer: D.Leites MSC: 17B67 17B10 81T10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel}, Lett. Math. Phys. 19, No. 4, 307--317 (1990; Zbl 0711.17012) Full Text: DOI
Feigin, B. L.; Tsygan, B. L. Riemann-Roch theorem and Lie algebra cohomology. I. (English) Zbl 0686.14007 Proc. Winter Sch. Geom. Phys., Srni/Czech. 1988, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 21, 15-52 (1989). Reviewer: Jan Kubarski (Łódź) MSC: 14C40 32Q99 17B56 16E40 17B55 14F10 PDFBibTeX XML Full Text: EuDML
Feigin, B. L.; Fialowski, A. Cohomology of the nilpotent subalgebras of current Lie algebras. (English) Zbl 0597.17009 Stud. Sci. Math. Hung. 24, No. 1, 1-9 (1989). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B65 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{A. Fialowski}, Stud. Sci. Math. Hung. 24, No. 1, 1--9 (1989; Zbl 0597.17009)
Feigin, B. L.; Fuks, D. B. Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. (English) Zbl 0692.17008 J. Geom. Phys. 5, No. 2, 209-235 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B66 17B68 17B67 17B10 81T40 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{D. B. Fuks}, J. Geom. Phys. 5, No. 2, 209--235 (1988; Zbl 0692.17008) Full Text: DOI
Feigin, B. L.; Frenkel’, Edward V. A family of representations of affine Lie algebras. (English. Russian original) Zbl 0668.17015 Russ. Math. Surv. 43, No. 5, 221-222 (1988). MSC: 17B67 17B10 14M05 17B56 14L35 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{E. V. Frenkel'}, Russ. Math. Surv. 43, No. 5, 221--222 (1988; Zbl 0668.17015) Full Text: DOI
Feigin, B. L. The Lie algebras \(\mathfrak{gl}(\lambda)\) and cohomologies of Lie algebras of differential operators. (English. Russian original) Zbl 0667.17006 Russ. Math. Surv. 43, No. 2, 169-170 (1988). MSC: 17B56 17B35 17B66 PDFBibTeX XMLCite \textit{B. L. Feigin}, Russ. Math. Surv. 43, No. 2, 169--170 (1988; Zbl 0667.17006) Full Text: DOI
Feĭgin, B. L.; Frenkel, Edward V. A family of representations of affine Lie algebras. (Russian) Zbl 0657.17013 Usp. Mat. Nauk 43, No. 5(263), 227-228 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B67 17B10 17B56 14M05 14L35 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{E. V. Frenkel}, Usp. Mat. Nauk 43, No. 5(263), 227--228 (1988; Zbl 0657.17013)
Feigin, B. L. On the cohomology of the Lie algebra of vector fields and of the current algebra. (English) Zbl 0657.17009 Sel. Math. Sov. 7, No. 1, 49-62 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B66 PDFBibTeX XMLCite \textit{B. L. Feigin}, Sel. Math. Sov. 7, No. 1, 49--62 (1988; Zbl 0657.17009)
Feigin, B. L.; Fuks, D. B.; Retakh, V. S. Massey operations in the cohomology of the infinite dimensional Lie algebra \(L_1\). (English) Zbl 0653.17010 Topology and geometry, Rohlin Semin. 1984-1986, Lect. Notes Math. 1346, 13-31 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B66 17B68 55S30 17B10 PDFBibTeX XML
Feĭgin, B. L. Lie algebras \(\mathfrak{gl}(\lambda)\) and cohomologies of Lie algebras of differential operators. (Russian) Zbl 0653.17009 Usp. Mat. Nauk 43, No. 2(260), 157-158 (1988). Reviewer: Alice Fialowski (Budapest) MSC: 17B56 17B35 17B66 PDFBibTeX XMLCite \textit{B. L. Feĭgin}, Usp. Mat. Nauk 43, No. 2(260), 157--158 (1988; Zbl 0653.17009)
Feĭgin, B. L.; Fuks, D. B. Cohomologies of Lie groups and Lie algebras. (Russian) Zbl 0653.17008 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 21, 121-209 (1988). MSC: 17B56 17-02 57T10 17B65 17B66 22E41 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{D. B. Fuks}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 21, 121--209 (1988; Zbl 0653.17008)
Feigin, B. L.; Fuchs, D. B. Cohomologies of Lie groups and Lie algebras. (English. Russian original) Zbl 0931.17014 Lie groups and Lie algebras II. Encycl. Math. Sci. 21, 125-215 (2000); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. Fundam. Napavleniya 21, 121-209 (1988). MSC: 17B56 17-02 57T10 17B65 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{D. B. Fuchs}, Encycl. Math. Sci. 21, 1 (1988; Zbl 0931.17014); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. Fundam. Napavleniya 21, 121--209 (1988)
Feigin, B. L.; Tsygan, B. L. Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras. (English) Zbl 0635.18009 \(K\)-theory, arithmetic and geometry, Semin., Moscow Univ. 1984-86, Lect. Notes Math. 1289, 210-239 (1987). Reviewer: Do Ngoc Diep MSC: 18F25 46L80 17B55 17B35 PDFBibTeX XML
Feigin, B. L.; Tsygan, B. L. Additive \(K\)-theory. (English) Zbl 0635.18008 \(K\)-theory, arithmetic and geometry, Semin., Moscow Univ. 1984-86, Lect. Notes Math. 1289, 67-209 (1987). Reviewer: Do Ngoc Diep MSC: 18F25 19K99 46L80 46M15 46M20 57T10 17B56 14F30 55S25 57R20 PDFBibTeX XML
Feigin, B. L.; Fialowski, A. Cohomology of the infinite-dimensional Lie algebra \(L_ 1\) with nontrivial coefficients. (English) Zbl 0628.17010 Bull. Am. Math. Soc., New Ser. 17, 333-337 (1987). Reviewer: Claude Roger (Lyon) MSC: 17B56 17B66 17B65 16E40 58H10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{A. Fialowski}, Bull. Am. Math. Soc., New Ser. 17, 333--337 (1987; Zbl 0628.17010) Full Text: DOI
Malikov, F. G.; Feigin, B. L.; Fuks, D. B. Singular vectors in Verma modules over Kac-Moody algebras. (English. Russian original) Zbl 0616.17010 Funct. Anal. Appl. 20, No. 2, 103-113 (1986); translation from Funkts. Anal. Prilozh. 20, No. 2, 25-37 (1986). Reviewer: F. G. Malikov MSC: 17B67 17B10 22E47 PDFBibTeX XMLCite \textit{F. G. Malikov} et al., Funct. Anal. Appl. 20, 103--113 (1986; Zbl 0616.17010); translation from Funkts. Anal. Prilozh. 20, No. 2, 25--37 (1986) Full Text: DOI
Feigin, B. L.; Zelevinskii, A. V. Representations of contragredient Lie algebras and the Kac-Macdonald identities. (English) Zbl 0599.17010 Representations of Lie groups and Lie algebras, Proc. Summer Sch., Budapest 1971, Pt. 2, 25-77 (1985). Reviewer: J.Vanzura MSC: 17B65 17B67 17-01 PDFBibTeX XML
Feĭgin, B. L.; Tsygan, B. L. Additive \(K\)-theory and crystalline cohomology. (English. Russian original) Zbl 0585.18007 Funct. Anal. Appl. 19, 124-132 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 52-62 (1985). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 19K99 19K33 19K35 18F25 46M15 46M20 14F30 17B56 46L80 22E41 18G10 55N15 55R40 55R45 16W50 57R32 PDFBibTeX XMLCite \textit{B. L. Feĭgin} and \textit{B. L. Tsygan}, Funct. Anal. Appl. 19, 124--132 (1985; Zbl 0585.18007); translation from Funkts. Anal. Prilozh. 19, No. 2, 52--62 (1985) Full Text: DOI