Edit Profile Feĭgin, Boris L’vovich Compute Distance To: Compute Author ID: feigin.boris-l Published as: Feigin, B.; Feigin, B. L.; Feigin, Boris; Feigin, Boris L.; Feigin, Boris Lvovich; Feĭgin, B. L.; Feĭgin, Boris L. Homepage: http://www.itp.ac.ru/en/persons/feigin-boris-lvovich/ External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 197 Publications since 1974, including 2 Books Biographic References: 2 Publications all top 5 Co-Authors 16 single-authored 33 Miwa, Tetsuji 32 Jimbo, Michio 27 Mukhin, Evgeny 21 Frenkel, Edward V. 20 Fuchs, Dmitry Borisovich 15 Loktev, Sergey A. 13 Feigin, Evgeny 13 Semikhatov, Alexei M. 12 Odesskii, Alexander 12 Tipunin, Ilya Yu. 7 Takeyama, Yoshihiro 5 Ding, Jintai 5 Gainutdinov, Azat M. 5 Kedem, Rinat 5 Rybnikov, Leonid Grigor’evich 5 Tsygan, B. L. 4 Finkelberg, Michael Vladlenovich 4 Malikov, Fyodor 3 Bershteĭn, Mikhaĭl Aleksandrovich 3 Buryak, Alexandr Y. 3 Fialowski, Alice 3 Gel’fand, Israil’ Moiseevich 3 Retakh, Vladimir Solomonovich 3 Schechtman, Vadim 3 Shiraishi, Jun’ichi 3 Varchenko, Alexander Nikolaevich 2 Belavin, Aleksandr Abramovich 2 Enriquez, Benjamin 2 Hong, Jin 2 Hoshino, Ayumu 2 Leites, Dimitry A. 2 Litvinov, Alekseĭ Viktorovich 2 Mutafyan, G. S. 2 Shoikhet, Boris B. 2 Sosinskiĭ, Alekseĭ Bronislavovich 2 Stoyanovskiĭ, Aleksandr Vasil’evich 1 Andreev, Oleg Dmitrievich 1 Astashkevich, Alexander 1 Awata, Hidetoshi 1 Belavin, Vladimir A. 1 Berenstein, Arkady 1 Bernstein, Joseph 1 Bowcock, Peter 1 Braverman, Alexander 1 Bushlanov, P. V. 1 Cherednik, Ivan V. 1 Felder, Giovanni 1 Foda, Omar 1 Fomin, Sergey Vladimirovich 1 Frenkel, Igor B. 1 Gubanov, S. Yu. 1 Gukov, Sergei 1 Hashizume, Ken’ichi 1 Ilyashenko, Yulij Sergeevich 1 Kapranov, Mikhail M. 1 Kashiwara, Masaki 1 Khoroshkin, Sergey M. 1 Kirillov, Anatol N. 1 Kuznetsov, Aleksandr Gennad’evich 1 Lando, Sergei K. 1 Lashkevich, Mikhaĭl Yur’evich 1 Littelmann, Peter 1 Makhlin, Igor 1 Manin, Yuri Ivanovich 1 Merzon, Grigory 1 Mirković, Ivan 1 Nakajima, Hiraku 1 Nakanishi, Tomoki 1 Negut, Andrei 1 Noumi, Masatoshi 1 Okado, Masato 1 Ooguri, Hirosi 1 Parkhomenko, Sergeĭ Evgen’evich 1 Pugaĭ, Yaroslav Petrovich 1 Reshetikhin, Nikolai Yu. 1 Roger, Claude 1 Rubtsov, Vladimir Nikolaevich 1 Schwarz, Albert S. 1 Serganova, Vera V. 1 Shibahara, Jun 1 Shlosman, Senya B. 1 Sirota, V. A. 1 Sopin, V. V. 1 Tabachnikov, Serge L. 1 Taormina, Anne 1 Tarnopolsky, Grigory M. 1 Toledano Laredo, Valerio 1 Tsafsman, Michael A. 1 Tsfasman, Michael A. 1 Tsymbaliuk, A. I. 1 Tsymbaliuk, Aleksander 1 Vasil’ev, Viktor Anatol’evich 1 Welsh, Trevor A. 1 Weyman, Jerzy M. 1 Yanagida, Shintarou 1 Zelevinskiĭ, Andreĭ V. all top 5 Serials 23 Functional Analysis and its Applications 17 Communications in Mathematical Physics 8 IMRN. International Mathematics Research Notices 7 Letters in Mathematical Physics 6 Nuclear Physics. B 6 Russian Mathematical Surveys 6 Funktsional’nyĭ Analiz i ego Prilozheniya 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Selecta Mathematica. New Series 6 Moscow Mathematical Journal 5 Journal of Mathematical Physics 5 Uspekhi Matematicheskikh Nauk [N. S.] 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 4 Journal of Algebra 4 The Ramanujan Journal 4 Kyoto Journal of Mathematics 3 International Journal of Modern Physics A 3 Duke Mathematical Journal 3 Journal of Physics A: Mathematical and Theoretical 2 Physics Letters. B 2 Journal of Geometry and Physics 2 Compositio Mathematica 2 Soviet Mathematics. Doklady 2 Transformation Groups 2 Journal of High Energy Physics 1 Inventiones Mathematicae 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the Moscow Mathematical Society 1 European Journal of Combinatorics 1 Selecta Mathematica Sovietica 1 Doklady Bolgarskoĭ Akademii Nauk 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Research Letters 1 Representation Theory 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Translations of Mathematical Monographs 1 Journal of Combinatorial Algebra all top 5 Fields 164 Nonassociative rings and algebras (17-XX) 87 Quantum theory (81-XX) 26 Combinatorics (05-XX) 26 Algebraic geometry (14-XX) 22 Associative rings and algebras (16-XX) 17 Topological groups, Lie groups (22-XX) 15 Manifolds and cell complexes (57-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Special functions (33-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Partial differential equations (35-XX) 5 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Algebraic topology (55-XX) 3 Number theory (11-XX) 3 Category theory; homological algebra (18-XX) 3 \(K\)-theory (19-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 170 Publications have been cited 2,659 times in 1,522 Documents Cited by ▼ Year ▼ Quantization of the Drinfel’d-Sokolov reduction. Zbl 1242.17023Feigin, Boris; Frenkel, Edward 96 1990 Affine Kac-Moody algebras at the critical level and Gelfand-Dikii algebras. Zbl 0925.17022Feigin, Boris; Frenkel, Edward 93 1992 Gaudin model, Bethe ansatz and critical level. Zbl 0812.35103Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai 83 1994 Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center. Zbl 1107.81044Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 79 2006 Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra. Zbl 0505.58031Feĭgin, B. L.; Fuks, D. B. 76 1982 Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT. Zbl 1177.17012Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. 68 2006 Affine Kac-Moody algebras and semi-infinite flag manifolds. Zbl 0722.17019Feigin, Boris L.; Frenkel, Edward V. 62 1990 Logarithmic extensions of minimal models: characters and modular transformations. Zbl 1116.81059Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 60 2006 Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories. Zbl 1298.81154Belavin, V.; Feigin, B. 59 2011 A commutative algebra on degenerate \(\mathbb{CP}^1\) and Macdonald polynomials. Zbl 1248.33034Feigin, B.; Hashizume, K.; Hoshino, Ayumu; Shiraishi, Jun’ichi; Yanagida, S. 56 2009 Representations of affine Kac-Moody algebras, bosonization and resolutions. Zbl 0711.17012Feigin, Boris L.; Frenkel, Edward V. 49 1990 Instanton moduli spaces and bases in coset conformal field theory. Zbl 1263.81252Belavin, A. A.; Bershtein, M. A.; Feigin, B. L.; Litvinov, A. V.; Tarnopolsky, G. M. 45 2013 Quantum \({\mathcal W}\)-algebras and elliptic algebras. Zbl 0871.17007Feigin, Boris; Frenkel, Edward 45 1996 Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra. Zbl 1242.14006Feigin, B. L.; Tsymbaliuk, A. I. 44 2011 Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations. Zbl 1278.17012Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 43 2011 Quantum algebraic approach to refined topological vertex. Zbl 1309.81112Awata, H.; Feigin, B.; Shiraishi, J. 38 2012 On generalized Kostka polynomials and the quantum Verlinde rule. Zbl 0974.17008Feigin, B.; Loktev, S. 38 1999 Integrals of motion and quantum groups. Zbl 0885.58034Feigin, Boris; Frenkel, Edward 36 1996 Equivalence between chain categories of representations of affine \(\text{sl}(2)\) and \(N=2\) superconformal algebras. Zbl 0935.17011Feigin, B. L.; Semikhatov, A. M.; Tipunin, I. Yu. 34 1998 Functional models of the representations of current algebras and semi-infinite Schubert cells. Zbl 0905.17030Stoyanovsky, A. V.; Feigin, B. L. 34 1994 Sklyanin elliptic algebras. Zbl 0713.17009Odesskiĭ, A. V.; Feigin, B. L. 34 1989 Additive \(K\)-theory. Zbl 0635.18008Feigin, B. L.; Tsygan, B. L. 34 1987 Gaudin models with irregular singularities. Zbl 1186.81065Feigin, B.; Frenkel, E.; Toledano Laredo, V. 33 2010 Quantum toroidal \(\mathfrak{gl}_{1}\)-algebra: plane partitions. Zbl 1315.17010Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 30 2012 Verma modules over the Virasoro algebra. Zbl 0549.17010Feigin, B. L.; Fuks, D. B. 30 1984 Yangians and cohomology rings of Laumon spaces. Zbl 1260.14015Feigin, Boris; Finkelberg, Michael; Negut, Andrei; Rybnikov, Leonid 29 2011 Quantum continuous \(\mathfrak{gl}_{\infty}\): tensor products of Fock modules and \(\mathcal{W}_{n}\)-characters. Zbl 1278.17013Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 29 2011 Multi-dimensional Weyl modules and symmetric functions. Zbl 1100.17005Feigin, B.; Loktev, S. 29 2004 The Lie algebras \(\mathfrak{gl}(\lambda)\) and cohomologies of Lie algebras of differential operators. Zbl 0667.17006Feigin, B. L. 28 1988 Kazhdan-Lusztig-dual quantum group for logarithimic extensions of Virasoro minimal models. Zbl 1112.17017Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 27 2007 The annihilating ideals of minimal models. Zbl 0925.17033Feigin, Boris L.; Nakanishi, Tomoki; Ooguri, Hirosi 27 1992 Verma modules over the Virasoro algebra. Zbl 0529.17010Feigin, B. L.; Fuks, D. B. 27 1983 Verma modules over the Virasoro algebra. Zbl 0526.17010Feigin, B. L.; Fuks, D. B. 27 1983 Homology of the Lie algebra of vector fields on the line. Zbl 0487.57011Feĭgin, B. L.; Fuks, D. B. 27 1981 Singular vectors in Verma modules over Kac-Moody algebras. Zbl 0616.17010Malikov, F. G.; Feigin, B. L.; Fuks, D. B. 26 1986 A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps’ spaces. Zbl 1247.81169Braverman, Alexander; Feigin, Boris; Finkelberg, Michael; Rybnikov, Leonid 24 2011 A differential ideal of symmetric polynomials spanned by Jack polynomials at \(\beta=-(r-1)(k+1)\). Zbl 1012.05153Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 23 2002 Semi-infinite Weil complex and the Virasoro algebra. Zbl 0726.17035Feigin, Boris; Frenkel, Edward 23 1991 Representations of the Virasoro algebra. Zbl 0722.17020Feigin, B. L.; Fuks, D. B. 23 1990 Quantum toroidal \(\mathfrak{gl}_{1}\) and Bethe ansatz. Zbl 1318.81039Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 22 2015 \(W_n^{(n)}\) algebras. Zbl 1123.17302Feigin, B. L.; Semikhatov, A. M. 22 2004 Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials. Zbl 1069.33019Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 22 2003 Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\). Zbl 1425.17020Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 21 2017 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 21 2005 A family of representations of affine Lie algebras. Zbl 0668.17015Feigin, B. L.; Frenkel’, Edward V. 21 1988 Additive \(K\)-theory and crystalline cohomology. Zbl 0585.18007Feĭgin, B. L.; Tsygan, B. L. 21 1985 Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan 20 1999 Representations of the Virasoro algebra. Zbl 0642.17007Feigin, B. L.; Fuks, D. B. 19 1984 Semi-infinite homology of Kac-Moody and Virasoro Lie algebras. Zbl 0544.17009Feĭgin, B. L. 19 1984 Quantization of soliton systems and Langlands duality. Zbl 1245.81062Feigin, Boris; Frenkel, Edward 18 2011 Opers with irregular singularity and spectra of the shift of argument subalgebra. Zbl 1226.22017Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid 18 2010 Cohomologies of Lie algebras of generalized Jacobi matrices. Zbl 0544.17011Feigin, B. L.; Tsygan, B. L. 18 1983 Representations of quantum toroidal \(\mathfrak{gl}_n\). Zbl 1293.17017Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 17 2013 Principal \(\widehat{{\mathfrak{sl}}_3}\) subspaces and quantum Toda Hamiltonian. Zbl 1206.17012Feigin, Boris; Feigin, Evgeny; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Evgeny 17 2009 Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities. Zbl 0831.17012Feigin, Boris; Frenkel, Edward 17 1993 Riemann-Roch theorem and Lie algebra cohomology. I. Zbl 0686.14007Feigin, B. L.; Tsygan, B. L. 17 1989 On \([A,A]/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras. Zbl 1174.17020Feigin, Boris; Shoikhet, Boris 16 2007 Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants. Zbl 1004.17001Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. 16 2001 Vector bundles on an elliptic curve and Sklyanin algebras. Zbl 0916.16014Feigin, B. L.; Odesskij, A. V. 16 1998 Elliptic Sklyanin algebras. Zbl 0687.17001Odesskiĭ, A. V.; Feigin, B. L. 16 1989 Lusztig limit of quantum \(s\ell (2)\) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models. Zbl 1194.81121Bushlanov, P. V.; Feigin, B. L.; Gainutdinov, A. M.; Tipunin, I. Yu. 15 2009 Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra. Zbl 0948.81559Feigin, B. L.; Semikhatov, A. M.; Sirota, V. A.; Tipunin, I. Yu. 15 1999 Lie algebras \(\mathfrak{gl}(\lambda)\) and cohomologies of Lie algebras of differential operators. Zbl 0653.17009Feĭgin, B. L. 15 1988 \(q\)-characters of the tensor products in \({\mathfrak {sl}}_2\)-case. Zbl 1027.05007Feigin, B.; Feigin, E. 14 2002 Cohomologies of Lie groups and Lie algebras. Zbl 0653.17008Feĭgin, B. L.; Fuks, D. B. 14 1988 Branching rules for quantum toroidal \(\mathfrak{gl}_n\). Zbl 1402.17031Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 13 2016 Rogers-Ramanujan type identities and nil-DAHA. Zbl 1298.33029Cherednik, Ivan; Feigin, Boris 12 2013 Bosonic formulas for (\(k, l\))-admissible partitions. Zbl 1039.05008Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. 12 2003 \(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras. Zbl 0980.17016Bowcock, P.; Feigin, B. L.; Semikhatov, A. M.; Taormina, A. 12 2000 Modular functor and representation theory of \(\widehat{sl_ 2}\) at a rational level. Zbl 0876.22018Feigin, Boris; Malikov, Feodor 12 1997 Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras. Zbl 0692.17008Feigin, B. L.; Fuks, D. B. 12 1988 A family of representations of affine Lie algebras. Zbl 0657.17013Feĭgin, B. L.; Frenkel, Edward V. 12 1988 Cohomologies of Lie groups and Lie algebras. Zbl 0931.17014Feigin, B. L.; Fuchs, D. B. 12 1988 Fermionic formulas for \((k,3)\)-admissible configurations. Zbl 1134.17311Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene; Takeyama, Yoshihiro 11 2004 Fusion algebra at a rational level and cohomology of nilpotent subalgebras of \(\widehat{\mathfrak sl}(2)\). Zbl 0992.81033Feigin, Boris; Malikov, Feodor 11 1994 Bosonic ghost system and the Virasoro algebra. Zbl 1243.81086Feigin, Boris; Frenkel, Edward 11 1990 The semi-infinite homology of Kac-Moody and Virasoro Lie algebras. Zbl 0574.17008Feĭgin, B. L. 11 1984 Plane partitions with a “pit”: generating functions and representation theory. Zbl 1430.17044Bershtein, Mikhail; Feigin, Boris; Merzon, Grigory 10 2018 The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\). Zbl 0971.81044Feigin, B. L.; Semikhatov, A. M. 10 2001 Algebra of screening operators for the deformed \(W_n\) algebra. Zbl 0952.17010Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Odesskii, Alexandr; Pugai, Yaroslav 10 1998 On algebraic equations satisfied by hypergeometric correlators in WZW models. I. Zbl 0835.17019Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander 10 1994 Integrals of motion from quantum toroidal algebras. Zbl 1386.82037Feigin, B.; Jimbo, M.; Mukhin, E. 9 2017 Vertex operator algebra arising from the minimal series \(M(3,p)\) and monomial basis. Zbl 1028.81025Feigin, Boris L.; Jimbo, Michio; Miwa, Tetsuji 9 2002 Free-field resolutions of unitary representations of the \(N=2\) Virasoro algebras. II: The butterfly resolution. Zbl 1025.17008Semikhatov, A. M.; Feigin, B. L. 9 1999 Integrable hierarchies and Wakimoto modules. Zbl 0977.17020Feigin, Boris; Frenkel, Edward 9 1999 Kac-Moody groups and integrability of soliton equations. Zbl 0829.58021Feigin, Boris; Frenkel, Edward 9 1995 Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations. Zbl 1395.17058Bershtein, Mikhail; Feigin, Boris; Litvinov, Alexei 8 2016 Combinatorics and geometry of higher level Weyl modules. Zbl 1129.22011Feigin, B.; Kirillov, A. N.; Loktev, S. 8 2007 Addendum to ‘Bosonic formulas for (\(k\), \(l\))-admissible partitions’. Zbl 1039.05009Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. 8 2003 On algebraic equations satisfied by hypergeometric correlators in WZW models. II. Zbl 0842.17043Feigin, Boris; Schechtman, Vadim; Varchenko, Alexander 8 1995 Representations of affine Kac-Moody algebras and bosonization. Zbl 0734.17011Feĭgin, Boris L.; Frenkel, Edward V. 8 1990 Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras. Zbl 0635.18009Feigin, B. L.; Tsygan, B. L. 8 1987 Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras. Zbl 1394.17051Feigin, Boris; Tsymbaliuk, Alexander 7 2016 Form factors of descendant operators: free field construction and reflection relations. Zbl 1177.81121Feigin, Boris; Lashkevich, Michael 7 2009 Quantized moduli spaces of the bundles on the elliptic curve and their applications. Zbl 1076.14520Feĭgin, B. L.; Odesskiĭ, A. V. 7 2001 Quantum current operators. II: Difference equations of quantum current operators and quantum parafermion construction. Zbl 0889.17008Ding, Jintai; Feigin, Boris 7 1997 On cohomologies of some Lie algebras and superalgebras of vector fields. Zbl 0493.58029Retakh, V. S.; Feigin, B. L. 7 1982 Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian. Zbl 1180.37091Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 6 2009 Andrews-Gordon type identities from combinations of Virasoro characters. Zbl 1244.05028Feigin, Boris; Foda, Omar; Welsh, Trevor 6 2008 A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\). Zbl 1162.17025Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Takeyama, Y. 6 2008 VOA \([M_4]\). Zbl 07177403Feigin, Boris; Gukov, Sergei 4 2020 The \({(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}\) duality in the quantum toroidal setting. Zbl 1414.81135Feigin, B.; Jimbo, M.; Mukhin, E. 1 2019 Plane partitions with a “pit”: generating functions and representation theory. Zbl 1430.17044Bershtein, Mikhail; Feigin, Boris; Merzon, Grigory 10 2018 Correction to: “Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian”. Zbl 1407.37102Feigin, Boris; Feigin, Evgeny; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Evgeny 1 2018 Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\). Zbl 1425.17020Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 21 2017 Integrals of motion from quantum toroidal algebras. Zbl 1386.82037Feigin, B.; Jimbo, M.; Mukhin, E. 9 2017 Extensions of vertex algebras. Constructions and applications. Zbl 1432.17031Feĭgin, B. L. 5 2017 Finite type modules and Bethe ansatz equations. Zbl 1407.82019Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene 5 2017 Branching rules for quantum toroidal \(\mathfrak{gl}_n\). Zbl 1402.17031Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 13 2016 Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations. Zbl 1395.17058Bershtein, Mikhail; Feigin, Boris; Litvinov, Alexei 8 2016 Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras. Zbl 1394.17051Feigin, Boris; Tsymbaliuk, Alexander 7 2016 A combinatorial formula for affine Hall-Littlewood functions via a weighted Brion theorem. Zbl 1345.05006Feigin, Boris; Makhlin, Igor 1 2016 Quantum toroidal \(\mathfrak{gl}_{1}\) and Bethe ansatz. Zbl 1318.81039Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 22 2015 A simple proof of the formula for the Betti numbers of the quasihomogeneous Hilbert schemes. Zbl 1353.14007Buryak, Alexandr; Feigin, Boris Lvovich; Nakajima, Hiraku 3 2015 Tableau formulas for one-row Macdonald polynomials of types \(C_n\) and \(D_n\). Zbl 1331.33037Feigin, Boris; Hoshino, Ayumu; Noumi, Masatoshi; Shibahara, Jun; Shiraishi, Jun’ichi 1 2015 Characters of representations of the quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}}}_1\): plane partitions with “stands”. Zbl 1305.17015Mutafyan, G. S.; Feĭgin, B. L. 2 2014 Instanton moduli spaces and bases in coset conformal field theory. Zbl 1263.81252Belavin, A. A.; Bershtein, M. A.; Feigin, B. L.; Litvinov, A. V.; Tarnopolsky, G. M. 45 2013 Representations of quantum toroidal \(\mathfrak{gl}_n\). Zbl 1293.17017Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 17 2013 Rogers-Ramanujan type identities and nil-DAHA. Zbl 1298.33029Cherednik, Ivan; Feigin, Boris 12 2013 The quantum toroidal algebra \(\widehat{\widehat{\mathfrak{gl}_1}}\): calculation of characters of some representations as generating functions of plane partitions. Zbl 1282.17019Mutafyan, G. S.; Feigin, B. L. 2 2013 Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes. Zbl 1307.14007Buryak, A.; Feigin, B. L. 1 2013 Quantum algebraic approach to refined topological vertex. Zbl 1309.81112Awata, H.; Feigin, B.; Shiraishi, J. 38 2012 Quantum toroidal \(\mathfrak{gl}_{1}\)-algebra: plane partitions. Zbl 1315.17010Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 30 2012 Super Liouville conformal blocks from \( \mathcal{N} = 2 \) SU(2) quiver gauge theories. Zbl 1298.81154Belavin, V.; Feigin, B. 59 2011 Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra. Zbl 1242.14006Feigin, B. L.; Tsymbaliuk, A. I. 44 2011 Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations. Zbl 1278.17012Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 43 2011 Yangians and cohomology rings of Laumon spaces. Zbl 1260.14015Feigin, Boris; Finkelberg, Michael; Negut, Andrei; Rybnikov, Leonid 29 2011 Quantum continuous \(\mathfrak{gl}_{\infty}\): tensor products of Fock modules and \(\mathcal{W}_{n}\)-characters. Zbl 1278.17013Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 29 2011 A finite analog of the AGT relation. I: Finite \(W\)-algebras and quasimaps’ spaces. Zbl 1247.81169Braverman, Alexander; Feigin, Boris; Finkelberg, Michael; Rybnikov, Leonid 24 2011 Quantization of soliton systems and Langlands duality. Zbl 1245.81062Feigin, Boris; Frenkel, Edward 18 2011 Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces. Zbl 1285.14011Feigin, Boris; Finkelberg, Michael; Frenkel, Igor; Rybnikov, Leonid 5 2011 Zhu’s algebras, \(C_{2}\)-algebras and abelian radicals. Zbl 1292.17024Feigin, Boris; Feigin, Evgeny; Littelmann, Peter 5 2011 Abelianization of the BGG resolution of representations of the Virasoro algebra. Zbl 1271.17018Feigin, B. L. 3 2011 Characters of coinvariants in \((1,p)\) logarithmic models. Zbl 1225.81122Feigin, Boris L.; Tipunin, Ilya Yu. 3 2011 Fermionic formulas for characters of \((1,p)\) logarithmic model in \(\Phi_{2,1}\) quasiparticle realisation. Zbl 1242.81120Feigin, Boris; Feigin, Evgeny; Tipunin, Il’ya 2 2011 Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the \(\mathfrak{sl}_{n+1}\) principal subspace. Zbl 1236.17020Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji 1 2011 Gaudin models with irregular singularities. Zbl 1186.81065Feigin, B.; Frenkel, E.; Toledano Laredo, V. 33 2010 Opers with irregular singularity and spectra of the shift of argument subalgebra. Zbl 1226.22017Feigin, Boris; Frenkel, Edward; Rybnikov, Leonid 18 2010 A commutative algebra on degenerate \(\mathbb{CP}^1\) and Macdonald polynomials. Zbl 1248.33034Feigin, B.; Hashizume, K.; Hoshino, Ayumu; Shiraishi, Jun’ichi; Yanagida, S. 56 2009 Principal \(\widehat{{\mathfrak{sl}}_3}\) subspaces and quantum Toda Hamiltonian. Zbl 1206.17012Feigin, Boris; Feigin, Evgeny; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Evgeny 17 2009 Lusztig limit of quantum \(s\ell (2)\) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models. Zbl 1194.81121Bushlanov, P. V.; Feigin, B. L.; Gainutdinov, A. M.; Tipunin, I. Yu. 15 2009 Form factors of descendant operators: free field construction and reflection relations. Zbl 1177.81121Feigin, Boris; Lashkevich, Michael 7 2009 Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian. Zbl 1180.37091Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Mukhin, E. 6 2009 Andrews-Gordon type identities from combinations of Virasoro characters. Zbl 1244.05028Feigin, Boris; Foda, Omar; Welsh, Trevor 6 2008 A \(\phi_{1,3}\)-filtration of the Virasoro minimal series \(M(p,p')\) with \(1<p'/p<2\). Zbl 1162.17025Feigin, B.; Feigin, E.; Jimbo, M.; Miwa, T.; Takeyama, Y. 6 2008 Sets of rigged paths with Virasoro characters. Zbl 1138.17011Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. 2 2008 Kazhdan-Lusztig-dual quantum group for logarithimic extensions of Virasoro minimal models. Zbl 1112.17017Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 27 2007 On \([A,A]/[A[A,A]]\) and on a \(W_n\)-action on the consecutive commutators of free associative algebras. Zbl 1174.17020Feigin, Boris; Shoikhet, Boris 16 2007 Combinatorics and geometry of higher level Weyl modules. Zbl 1129.22011Feigin, B.; Kirillov, A. N.; Loktev, S. 8 2007 Two-dimensional current algebras and affine fusion product. Zbl 1132.17013Feigin, B.; Feigin, E. 2 2007 Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center. Zbl 1107.81044Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 79 2006 Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT. Zbl 1177.17012Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. 68 2006 Logarithmic extensions of minimal models: characters and modular transformations. Zbl 1116.81059Feigin, B. L.; Gainutdinov, A. M.; Semikhatov, A. M.; Tipunin, I. Yu. 60 2006 Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials. Zbl 1201.17017Feigin, B.; Feigin, E. 6 2006 Hochschild cohomology of the Weyl algebra and traces in deformation quantization. Zbl 1106.53055Feigin, Boris; Felder, Giovanni; Shoikhet, Boris 21 2005 A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\). Zbl 1135.17303Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. 5 2005 Homological realization of restricted Kostka polynomials. Zbl 1162.17313Feigin, Boris; Feigin, Evgeny 1 2005 Multi-dimensional Weyl modules and symmetric functions. Zbl 1100.17005Feigin, B.; Loktev, S. 29 2004 \(W_n^{(n)}\) algebras. Zbl 1123.17302Feigin, B. L.; Semikhatov, A. M. 22 2004 Fermionic formulas for \((k,3)\)-admissible configurations. Zbl 1134.17311Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene; Takeyama, Yoshihiro 11 2004 Spaces of coinvariants and fusion product. I: From equivalence theorem to Kostka polynomials. Zbl 1129.17304Feigin, B.; Jimbo, M.; Kedem, R.; Loktev, S.; Miwa, T. 6 2004 Particle content of the \((k,3)\)-configurations. Zbl 1062.05010Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Mukhin, Eugene; Takeyama, Yoshihiro 5 2004 A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\). Zbl 1106.17016Feigin, B.; Jimbo, M.; Kashiwara, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. 3 2004 Two character formulas for \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants. Zbl 1080.81531Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T. 2 2004 Spaces of coinvariants and fusion product. II: \(\widehat{\mathfrak{sl}_2}\) character formulas in terms of Kostka polynomials. Zbl 1160.17312Feigin, B.; Jimbo, M.; Kedem, R.; Loktev, S.; Miwa, T. 2 2004 Schubert varieties and the fusion products. Zbl 1095.17009Feigin, Boris; Feigin, Evgeny 1 2004 Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials. Zbl 1069.33019Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 22 2003 Bosonic formulas for (\(k, l\))-admissible partitions. Zbl 1039.05008Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. 12 2003 Addendum to ‘Bosonic formulas for (\(k\), \(l\))-admissible partitions’. Zbl 1039.05009Feigin, B.; Jimbo, M.; Loktev, S.; Miwa, T.; Mukhin, E. 8 2003 Symmetric polynomials vanishing on the diagonals shifted by roots of unity. Zbl 1090.05071Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E.; Takeyama, Y. 2 2003 A differential ideal of symmetric polynomials spanned by Jack polynomials at \(\beta=-(r-1)(k+1)\). Zbl 1012.05153Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, E. 23 2002 \(q\)-characters of the tensor products in \({\mathfrak {sl}}_2\)-case. Zbl 1027.05007Feigin, B.; Feigin, E. 14 2002 Vertex operator algebra arising from the minimal series \(M(3,p)\) and monomial basis. Zbl 1028.81025Feigin, Boris L.; Jimbo, Michio; Miwa, Tetsuji 9 2002 Combinatorics of the \(\widehat {\mathfrak{sl}}_2\) coinvariants: Dual functional realization and recursion. Zbl 1026.17031Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. 4 2002 Combinatorics of the \(\widehat{\mathfrak{sl}}_2\) spaces of coinvariants: loop Heisenberg modules and recursion. Zbl 1005.81080Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. 2 2002 Coinvariants for lattice VOAs and \(q\)-supernomial coefficients. Zbl 1073.17010Feigin, B. L.; Loktev, S. A.; Tipunin, I. Yu. 2 2002 Combinatorics of the \(\widehat{\mathfrak {sl}}_2\) spaces of coinvariants. Zbl 1004.17001Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E. 16 2001 The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\). Zbl 0971.81044Feigin, B. L.; Semikhatov, A. M. 10 2001 Quantized moduli spaces of the bundles on the elliptic curve and their applications. Zbl 1076.14520Feĭgin, B. L.; Odesskiĭ, A. V. 7 2001 Semi-infinite realization of unitary representations of the \(N=2\) algebra and related constructions. Zbl 0998.81032Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. 6 2001 On the finitization of the Gordon identities. Zbl 1085.17015Feigin, B. L.; Loktev, S. A. 4 2001 Truncation of functional relations in the \(XXZ\) model. Zbl 1038.82011Belavin, A. A.; Gubanov, S. Yu.; Feigin, B. L. 2 2001 \(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras. Zbl 0980.17016Bowcock, P.; Feigin, B. L.; Semikhatov, A. M.; Taormina, A. 12 2000 Commutative quantum current operators, semi-infinite construction and functional models. Zbl 1033.17016Ding, Jintai; Feigin, Boris 5 2000 Quantized W-algebra of \(\mathfrak s\mathfrak l(2,1)\) and quantum parafermions of \(U_q(\widehat{\mathfrak s\mathfrak l}(2))\). Zbl 0962.17007Ding, Jintai; Feigin, Boris 4 2000 On generalized Kostka polynomials and the quantum Verlinde rule. Zbl 0974.17008Feigin, B.; Loktev, S. 38 1999 Semi-infinite flags. II: Local and global intersection cohomology of quasimaps spaces. Zbl 1076.14511Feigin, Boris; Finkelberg, Michael; Kuznetsov, Alexander; Mirković, Ivan 20 1999 Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra. Zbl 0948.81559Feigin, B. L.; Semikhatov, A. M.; Sirota, V. A.; Tipunin, I. Yu. 15 1999 Free-field resolutions of unitary representations of the \(N=2\) Virasoro algebras. II: The butterfly resolution. Zbl 1025.17008Semikhatov, A. M.; Feigin, B. L. 9 1999 Integrable hierarchies and Wakimoto modules. Zbl 0977.17020Feigin, Boris; Frenkel, Edward 9 1999 Appendix: Personal notes. Zbl 0960.01012Schwarz, Albert; Sossinsky, Alexei; Roger, Claude; Feigin, Boris; Tabachnikov, Sergei; Astashkevich, Alexander 1 1999 Quantized \(W\)-algebra of \(sl(2,1)\): A construction from the quantization of screening operators. Zbl 0952.17011Ding, Jintai; Feigin, Boris 1 1999 Equivalence between chain categories of representations of affine \(\text{sl}(2)\) and \(N=2\) superconformal algebras. Zbl 0935.17011Feigin, B. L.; Semikhatov, A. M.; Tipunin, I. Yu. 34 1998 Vector bundles on an elliptic curve and Sklyanin algebras. Zbl 0916.16014Feigin, B. L.; Odesskij, A. V. 16 1998 Algebra of screening operators for the deformed \(W_n\) algebra. Zbl 0952.17010Feigin, Boris; Jimbo, Michio; Miwa, Tetsuji; Odesskii, Alexandr; Pugai, Yaroslav 10 1998 Separation of variables for Gaudin-Calogero systems. Zbl 0935.32013Enriquez, B.; Feigin, B.; Rubtsov, V. 2 1998 Modular functor and representation theory of \(\widehat{sl_ 2}\) at a rational level. Zbl 0876.22018Feigin, Boris; Malikov, Feodor 12 1997 Quantum current operators. II: Difference equations of quantum current operators and quantum parafermion construction. Zbl 0889.17008Ding, Jintai; Feigin, Boris 7 1997 A family of elliptic algebras. Zbl 0923.16027Feigin, Boris; Odesskij, Alexander 6 1997 Elliptic deformations of current algebras and their representations by difference operators. Zbl 0919.17009Odesskij, A. V.; Feigin, B. L. 2 1997 ...and 70 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,364 Authors 77 Feĭgin, Boris L’vovich 30 Creutzig, Thomas 29 Frenkel, Edward V. 28 Ridout, David 26 Mukhin, Evgeny 25 Arakawa, Tomoyuki 25 Semikhatov, Alexei M. 22 Morozov, Alexei Yurievich 21 Milas, Antun 20 Jimbo, Michio 19 Adamović, Dražen 19 Gainutdinov, Azat M. 19 Miwa, Tetsuji 17 Varchenko, Alexander Nikolaevich 16 Futorny, Vyacheslav M. 16 Linshaw, Andrew Ross 16 Mathieu, Pierre 15 Bershteĭn, Mikhaĭl Aleksandrovich 15 Chari, Vyjayanthi 15 Kac, Victor G. 15 Mironov, Andrei D. 15 Molev, Alexander I. 15 Tipunin, Ilya Yu. 14 Awata, Hidetoshi 13 Feigin, Evgeny 12 Bonelli, Giulio 12 Gaberdiel, Matthias R. 12 Jing, Naihuan 12 Lukyanov, Sergei L. 12 Shiraishi, Jun’ichi 12 Tanzini, Alessandro 12 Zenkevich, Yegor 11 Kedem, Rinat 10 Ragoucy, Eric 10 Rybnikov, Leonid Grigor’evich 9 Cox, Ben Lewis 9 Felder, Giovanni 9 Finkelberg, Michael Vladlenovich 9 Fourier, Ghislain 9 Kanno, Hiroaki 9 Kimura, Taro 9 Lian, Bong H. 9 Skvortsov, Evgeny D. 9 Vicedo, Benoît 8 Bazhanov, Vladimir V. 8 Belavin, Vladimir A. 8 Enriquez, Benjamin 8 Frenkel, Igor B. 8 Kožić, Slaven 8 Loktev, Sergey A. 8 Malikov, Fyodor 8 Negut, Andrei 8 Rasmussen, Jørgen H. 8 Rubtsov, Vladimir Nikolaevich 8 Smith, S. Paul 8 Tsymbaliuk, Aleksander 8 Wood, Simon James 7 Belavin, Aleksandr Abramovich 7 Etingof, Pavel Il’ich 7 Fialowski, Alice 7 Flohr, Michael A. I. 7 Foda, Omar 7 Frappat, Luc 7 Fuchs, Jürgen 7 Iohara, Kenji 7 Kanade, Shashank 7 Li, Haisheng 7 Litvinov, Alekseĭ Viktorovich 7 Maruyoshi, Kazunobu 7 Nekrasov, Nikita Alexandrovich 7 Odake, Satoru 7 Ohkubo, Yusuke 7 Pearce, Paul A. 7 Primc, Mirko 7 Procházka, Tomáš 7 Runkel, Ingo 7 Sharapov, Alexey A. 7 Teschner, Jörg 7 Wakimoto, Minoru 7 Watts, Gerard M. T. 7 Young, Charles A. S. 7 Zhao, Kaiming 6 António, N. 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