B. Feigin

发表

A differential ideal of symmetric polynomials spanned by Jack polynomials at rβ = -(r=1)/(k+1)

Boris Feigin, Michio Jimbo, Tetsuji Miwa, 2001 .

Quantization of soliton systems and Langlands duality

B. Feigin, E. Frenkel, 2007, 0705.2486.

On algebraic equations satisfied by hypergeometric correlators in WZW models. II

A. Varchenko, B. Feigin, V. Schechtman, 1994, hep-th/9407010.

A Simple Proof of the Formula for the Betti Numbers of the Quasihomogeneous Hilbert Schemes

B. Feigin, A. Buryak, H. Nakajima, 2013, 1302.2789.

Homogeneous components in the moduli space of sheaves and Virasoro characters

B. Feigin, A. Buryak, 2011, 1111.6422.

IDENTITIES FROM COMBINATIONS OF VIRASORO CHARACTERS

B. Feigin, O. Foda, 2008 .

Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra

D. B. Fuks, B. Feigin, 1982 .

The Annihilating Ideals of Minimal Models

H. Ooguri, B. Feigin, T. Nakanishi, 1992 .

Deformation of Weyl Modules and Generalized Parking Functions

B. Feigin, S. Loktev, 2003, math/0312158.

Quantized W-algebra of and Quantum Parafermions of

Jintai Ding, B. Feigin, 2000 .

Semi-infinite Weil complex and the Virasoro algebra

B. Feigin, E. Frenkel, 1991 .

Equivalence between Chain Categories of Representations of Affine sl(2) and N=2 Superconformal Algebras

I. Tipunin, B. Feigin, A. M. Semikhatov, 1997, hep-th/9701043.

Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials

M. Jimbo, T. Miwa, B. Feigin, 2002, math/0209042.

Dual description of η-deformed OSP sigma models

B. Feigin, A. Litvinov, B. Hoare, 2020, Journal of High Energy Physics.

On bosonization of 2d conformal field theories

B. Feigin, O. Andreev, 1994, hep-th/9403081.

SEMIINFINITE FLAGS. II. LOCAL AND GLOBAL INTERSECTION COHOMOLOGY OF QUASIMAPS’ SPACES.

B. Feigin, M. Finkelberg, Alexander M. Kuznetsov, 1997, alg-geom/9711009.

Commutative quantum current operators, semi-infinite construction and functional models

Jintai Ding, B. Feigin, 1996, q-alg/9612009.

Integrals of motion and quantum groups

B. Feigin, E. Frenkel, 1993, hep-th/9310022.

Modular Group Representations and Fusion in Logarithmic Conformal Field Theories and in the Quantum Group Center

B. Feigin, A. Gainutdinov, A. Semikhatov, 2005, hep-th/0504093.

Kazhdan-Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT

B. Feigin, A. Gainutdinov, A. Semikhatov, 2005, math/0512621.

Lusztig limit of quantum sl(2) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models

A. Gainutdinov, I. Tipunin, B. Feigin, 2009, 0901.1602.

Combinatorics and Geometry of Higher Level Weyl Modules

A. Kirillov, B. Feigin, S. Loktev, 2005, math/0503315.

Deformation of Weyl Modules and Generalized Parking Functions

B. Feigin, S. Loktev, 2003, math/0312158.

Sets of rigged paths with Virasoro characters

M. Jimbo, T. Miwa, Y. Takeyama, 2005, math/0506150.

Integral Intertwining Operators and Complex Powers of Differential ($q-$Difference) Operators

B. Feigin, F. Malikov, 1993, hep-th/9306137.

Integrable Hierarchies and Wakimoto Modules

B. Feigin, E. Frenkel, 1999, math/9902103.

AS VERTEX OPERATOR EXTENSIONS OF DUAL AFFINE s l ( 2 ) ALGEBRAS

B. Feigin, A. Taormina, P. Bowcock, 2022 .

Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials

M. Jimbo, T. Miwa, R. Kedem, 2002, math/0205324.

FROM EQUIVALENCE THEOREM TO KOSTKA

B. Feigin, 2002 .

Combinatorics of the $ \widehat{\mathfrak{sl}}_2 $ spaces of coinvariants: loop Heisenberg modules and recursion

T. Miwa, R. Kedem, B. Feigin, 2002 .

Combinatorics of the $\hat{sl_2}$ spaces of coinvariants II

T. Miwa, R. Kedem, B. Feigin, 1999, math/0009198.

Plane partitions with a “pit”: generating functions and representation theory

B. Feigin, G. Merzon, M. Bershtein, 2015, 1512.08779.

Verma modules over the virasoro algebra

D. B. Fuks, B. Feigin, 1984 .

Homology of the Lie algebra of vector fields on the line

D. B. Fuks, B. Feigin, 1980 .

A family of representations of affine Lie algebras

B. Feigin, E. Frenkel, 1988 .

A ] 1 7 Ja n 19 99 Extended Vertex Operator Algebras and Monomial Bases

T. Miwa, B. Feigin, 2008 .

Particle Content of the (k, 3)-configurations

M. Jimbo, T. Miwa, Y. Takeyama, 2002, math/0212348.

Extended vertex operator algebras and monomial bases

T. Miwa, B. Feigin, 1999, math/9901067.

Commutative vertex algebras and their degenerations

B. Feigin, 2014 .

COMBINATORICS OF THE ŝl 2 SPACES OF COINVARIANTS

R. Kedem, B. Feigin, 1999 .

Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities

B. Feigin, E. Frenkel, 1993, hep-th/9301039.

Duality in W-algebras

B. Feigin, E. Frenkel, 1991 .

Verma modules over the virasoro algebra

D. B. Fuks, B. Feigin, D. Fuchs, 1983 .

AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

B. Feigin, E. Frenkel, 1992 .

N = 4 Superconformal Algebras and Diagonal Cosets

B. Feigin, T. Creutzig, A. Linshaw, 2019, International Mathematics Research Notices.

REALIZATION OF THE RESTRICTED

B. Feigin, E. Feigin, 2009 .

Homological realization of restricted Kostka polynomials

B. Feigin, E. Feigin, 2005 .

Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras

B. Feigin, D. Fuchs, 1988 .

REPRESENTATIONS OF AFFINE KAC-MOODY ALGEBRAS AND BOSONIZATION

B. Feigin, Edward V. Frenkal, 1990 .

Kac-Moody groups and integrability of soliton equations

B. Feigin, E. Frenkel, 1993, hep-th/9311171.

On algebraic equations satisfied by hypergeometric correlators in WZW models. I

A. Varchenko, B. Feigin, V. Schechtman, 1994 .

On algebraic equations satisfied by correlators in Wess-Zumino-Witten models

A. Varchenko, B. Feigin, V. Schechtman, 1990 .

Additive K-theory

B. Feigin, B. Tsygan, 1987 .

3-Manifolds and VOA Characters

Miranda C. N. Cheng, Miranda C N Cheng, Sarah M. Harrison, 2022, 2201.04640.

Rogers–Ramanujan type identities and Nil-DAHA

B. Feigin, I. Cherednik, 2012, 1209.1978.

New Trends in Quantum Integrable Systems

A. H. Chan, M. Jimbo, L. Kwek, 2010 .

The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators

B. Feigin, 1988 .

Form factors of descendant operators: free field construction and reflection relations

B. Feigin, M. Lashkevich, 2008, 0812.4776.

Quantization of the Drinfeld-Sokolov reduction

Boris Feigin, Edward Frenkel, B. Feigin, 1990 .

Integrals of motion of the classical lattice sine-Gordon system

B. Feigin, B. Enriquez, 1994, hep-th/9409075.

Quantum-algebras and elliptic algebras

B. Feigin, E. Frenkel, 1995, q-alg/9508009.

The Intergals of Motion for the Deformed Virasoro Algebra March 18 , 2008 Dedicated to Professor Masaki Kashiwara on the occasion on the 60 th birthday

B. Feigin, J. Shiraishi, T. Kojima, 2008 .

The Integrals of Motion for the Deformed Virasoro Algebra

B. Feigin, J. Shiraishi, H. Watanabe, 2007, 0705.0427.

The Intergals of Motion for

B. Feigin, T. Kojima, H. Watanabe, 2006 .

Coupling of Two Conformal Field Theories and Nakajima–Yoshioka Blow-Up Equations

B. Feigin, A. Litvinov, M. Bershtein, 2013, 1310.7281.

Instanton Moduli Spaces and Bases in Coset Conformal Field Theory

A. Belavin, B. Feigin, A. Litvinov, 2011, 1111.2803.

Super Liouville conformal blocks from $ \mathcal{N} = 2 $ SU(2) quiver gauge theories

V. Belavin, B. Feigin, 2011 .

Truncation of functional relations in the $XXZ$ model.

A. Belavin, B. Feigin, S. Gubanov, 2000, hep-th/0008011.

Resolutions and characters of irreducible representations of the N = 2 superconformal algebra

I. Tipunin, B. Feigin, A. M. Semikhatov, 1998, hep-th/9805179.

Gaudin model, Bethe Ansatz and critical level

N. Reshetikhin, B. Feigin, E. Frenkel, 1994, hep-th/9402022.

VOA[M4]

B. Feigin, S. Gukov, 2018, Journal of Mathematical Physics.

hep-th/9907171 ̂sℓ(2|1) AND ̂ D(2|1; α) AS VERTEX OPERATOR EXTENSIONS OF DUAL AFFINE sℓ(2) ALGEBRAS

B. Feigin, A. Taormina, P. Bowcock, 1999 .

Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))

Jintai Ding, B. Feigin, 1998, math/9802076.

1 0 Fe b 20 18 PLANE PARTITIONS WITH A “ PIT ” : GENERATING FUNCTIONS AND REPRESENTATION THEORY

B. Feigin, G. Merzon, M. Bershtein, 2021 .

Free-Field Resolutions of the Unitary N=2 Super-Virasoro Representations

B. Feigin, A. M. Semikhatov, 1998, hep-th/9810059.

Equivalence between Chain Categories of Representations of Affine s l ( 2 ) and N = 2 Superconformal

I. Tipunin, B. Feigin, A. M. Semikhatov, 1998 .

Functional models for representations of current algebras and semi-infinite Schubert cells

B. Feigin, A. Stoyanovsky, 1994 .

Urod algebras and Translation of W-algebras

B. Feigin, T. Creutzig, T. Arakawa, 2020, Forum of Mathematics, Sigma.

Kazhdan--Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic Conformal Field Theory

A. Gainutdinov, I. Tipunin, B. Feigin, 2005 .

Characters of coinvariants in (1,p) logarithmic models

I. Tipunin, B. Feigin, I. Tipunin, 2008, 0805.4096.

Fermionic formulas for (1,p) logarithmic model characters in \Phi_{2,1} quasiparticle realisation

I. Tipunin, B. Feigin, E. Feigin, 2007 .

Singular vectors in Verma modules over Kac—Moody algebras

D. B. Fuks, B. Feigin, F. Malikov, 1986 .

2 7 M ar 2 01 1 Yangians and cohomology rings of Laumon spaces

B. Feigin, M. Finkelberg, L. Rybnikov, 2011 .

Yangians and cohomology rings of Laumon spaces

B. Feigin, M. Finkelberg, L. Rybnikov, 2008, 0812.4656.

Quantum group representations and the Baxter equation.

A. Antonov, B. Feigin, 1996, hep-th/9603105.

A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra Uq(sT2)

M. Jimbo, T. Miwa, M. Kashiwara, 2003, Eur. J. Comb..

Equivariant K-theory of Hilbert schemes via shuffle algebra

B. Feigin, A. Tsymbaliuk, 2009, 0904.1679.

A commutative algebra on degenerate CP^1 and Macdonald polynomials

B. Feigin, J. Shiraishi, S. Yanagida, 2009, 0904.2291.

Towards trigonometric deformation of sl^2 coset VOA

M. Jimbo, B. Feigin, E. Mukhin, 2018, Journal of Mathematical Physics.

Integrals of motion from quantum toroidal algebras

M. Jimbo, B. Feigin, E. Mukhin, 2017, 1705.07984.

Evaluation modules for quantum toroidal ${\mathfrak{gl}}_n$ algebras

M. Jimbo, B. Feigin, E. Mukhin, 2017, 1709.01592.

Gaudin models with irregular singularities

B. Feigin, E. Frenkel, V. Toledano-Laredo, 2006, math/0612798.

Integrable Systems, Shuffle Algebras, and Bethe Equations

B. Feigin, 2016 .

On generalized Kostka polynomials and quantum Verlinde rule

B. Feigin, S. Loktev, 1998, math/9812093.

Sklyanin elliptic algebras

B. Feigin, A. Odesskii, 1989 .

Deformations of $$\mathcal {W}$$ algebras via quantum toroidal algebras

M. Jimbo, B. Feigin, E. Mukhin, 2020, 2003.04234.

Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz

M. Jimbo, T. Miwa, B. Feigin, 2015 .

Quantum toroidal gl 1 ?> and Bethe ansatz

M. Jimbo, T. Miwa, B. Feigin, 2015, 1502.07194.

Separation of variables for Gaudin–Calogero systems

B. Feigin, B. Enriquez, V. Rubstov, 1996, Compositio Mathematica.

Representations of affine Kac-Moody algebras, bosonization and resolutions

B. Feigin, E. Frenkel, 1990 .

Andrews–Gordon type identities from combinations of Virasoro characters

T. Welsh, B. Feigin, O. Foda, 2005, math-ph/0504014.

Quasi-particles models for the representations of Lie algebras and geometry of flag manifold

B. Feigin, A. Stoyanovsky, 1993, hep-th/9308079.

Free field resolutions in affine Toda field theories

B. Feigin, E. Frenkel, 1992 .

Bosonic ghost system and the Virasoro algebra

B. Feigin, E. Frenkel, 1990 .

Massey operations in the cohomology of the infinite dimensional Lie algebra L1

V. Retakh, B. Feigin, D. Fuchs, 1988 .

Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras

B. Feigin, B. Tsygan, 1987 .

Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes

B. Feigin, A. Buryak, 2012, 1206.5640.

Additive K-theory and crystalline cohomology

B. Feigin, B. Tsygan, 1985 .

Cohomologies of Lie algebras of generalized Jacobi matrices

B. Feigin, B. Tsygan, 1983 .

On $[A,A]/[A,[A,A]]$ and on a $W_n$-action on the consecutive commutators of free associative algebras

B. Feigin, B. Shoikhet, 2006, math/0610410.

Vector bundles on elliptic curve and Sklyanin algebras

B. Feigin, A. Odesskii, 1995, q-alg/9509021.

Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics

B. Feigin, A. Losev, B. Shoikhet, 2004, math/0401400.

Hochschild cohomology of the Weyl algebra and traces in deformation quantization

G. Felder, B. Feigin, B. Shoikhet, 2003, math/0311303.

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The semi-infinite homology of Kac-Moody and Virasoro Lie algebras

B. Feigin, 1984 .

On the Endomorphisms of Weyl Modules over Affine Kac–Moody Algebras at the Critical Level

B. Feigin, E. Frenkel, L. Rybnikov, 2008, 0802.3872.

Flat deformations of algebras and functional equations

B. Feigin, Alexandre Odesski, 2019, Journal of Combinatorial Algebra.

Multi-Dimensional Weyl Modules and Symmetric Functions

B. Feigin, S. Loktev, 2002, math/0212001.

Logarithmic CFTs connected with simple Lie algebras

I. Tipunin, B. Feigin, 2010, 1002.5047.

COHOMOLOGY OF GROUPS AND ALGEBRAS OF FLOWS

B. Feigin, 1980 .

A Finite Analog of the AGT Relation I: Finite W-Algebras and Quasimaps’ Spaces

B. Feigin, M. Finkelberg, A. Braverman, 2010, 1008.3655.

The Erwin Schrr Odinger International Institute for Mathematical Physics Modular Functor and Representation Theory of B Sl 2 at a Rational Level Modular Functor and Representation Theory of D Sl 2 at a Rational Level

B. Feigin, F. Malikov, 2022 .

Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian

M. Jimbo, T. Miwa, B. Feigin, 2007, 0707.1635.

Quantum algebraic approach to refined topological vertex

B. Feigin, H. Awata, J. Shiraishi, 2011, 1112.6074.

Quantized Moduli Spaces of the Bundles on the Elliptic Curve and Their Applications

B. Feigin, A. Odesskii, 2001 .

On the Finitization of the Gordon Identities

B. Feigin, S. Loktev, 2000, math/0006221.

Abelianization of the BGG resolution of representations of the Virasoro algebra

B. Feigin, 2011 .

Gelfand–Tsetlin algebras and cohomology rings of Laumon spaces

I. Frenkel, B. Feigin, M. Finkelberg, 2008, 0806.0072.

Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras.

B. Feigin, A. Odesskii, 2001 .

Elliptic deformations of current algebras and their representations by difference operators

B. Feigin, A. Odesskii, 1997 .

Constructions of Sklyanin elliptic algebras and quantumR-Matrices

B. Feigin, A. Odesskii, 1993 .

Notes on Ding-Iohara algebra and AGT conjecture (可積分系数理の多様性--RIMS研究集会報告集)

B. Feigin, H. Awata, J. Shiraishi, 2011, 1106.4088.

Conformai Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve

B. Feigin, 2010 .

Cohomology of infinite-dimensional Lie algebras and Laplace operators

I. Gel'fand, D. B. Fuks, B. Feigin, 1978 .

Characteristic classes of flags of foliations

Boris Feigin, B. Feigin, 1975 .

Coordinate ring of the quantum Grassmanian and intertwiners for the representations of Sklyanin algebras

B. Feigin, A. Odesskii, 1997 .

Elliptic Sklyanin algebras. The case of points of finite order

B. Feigin, A. Odesskii, 1995 .

Combinatorics of vertex operators and deformed W-algebra of type D(2,1;α)

M. Jimbo, E. Mukhin, B. Feigin, 2021, Advances in Mathematics.

Shuffle algebra realization of quantum affine superalgebra Uv(Dˆ(2,1;θ))

B. Feigin, Yue Hu, 2021 .

Shuffle algebra realization of quantum affine superalgebra $U_{v}(\hat{\mathfrak{D}}(2,1;\theta))$

B. Feigin, Yue Hu, 2019, 1909.12575.

Generalized Drinfeld realization of quantum superalgebras and $U_q(\hat {\frak osp}(1,2))$

Jintai Ding, B. Feigin, 1999, math/9905087.

Drinfeld realization of quantum superalgebras and U q (̂(1,2))

Jintai Ding, B. Feigin, 2000 .

A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space ofG-bundles

B. Feigin, A. Stoyanovsky, 1994 .

The $${(\mathfrak{gl}_{m},\mathfrak{gl}_{n})}$$(glm,gln) Duality in the Quantum Toroidal Setting

M. Jimbo, B. Feigin, E. Mukhin, 2018, Communications in Mathematical Physics.

Bethe subalgebras of quantum affine gl(n) via shuffle algebras

B. Feigin, A. Tsymbaliuk, 2015, 1504.01696.

Bethe subalgebras of Uq ( ̂ gl n ) via shuffle algebras

B. Feigin, A. Tsymbaliuk, 2015 .

Branching rules for quantum toroidal gl(n)

M. Jimbo, T. Miwa, B. Feigin, 2013, 1309.2147.

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the cohomology of certain Lie algebras and superalgebras of vector fields

V. Retakh, B. Feigin, 1982 .

Cohomology of nilpotent subalgebras of the algebra $$\widehat{sl_2 }$$

B. Feigin, S. Loktev, 1996 .

Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations

I. Gel'fand, D. B. Fuks, B. Feigin, 1974 .

Fermionic Formulas for Eigenfunctions of the Difference Toda Hamiltonian

M. Jimbo, B. Feigin, E. Mukhin, 2008, 0812.2306.

A φ1,3-Filtration of the Virasoro Minimal Series M(p, p') with 1 < p'/p < 2

M. Jimbo, T. Miwa, Y. Takeyama, 2008 .

Dedicated to Professor Heisuke Hironaka on the occasion of his seventy-seventh birthday

Y. Takeyama, B. Feigin, 2008 .

A $\phi_{1,3}$-filtration of the Virasoro minimal series M(p,p') with 1

M. Jimbo, T. Miwa, Y. Takeyama, 2006, math/0603070.

Spaces of coinvariants and fusion product II. sl2 character formulas in terms of Kostka polynomials

M. Jimbo, T. Miwa, R. Kedem, 2004 .

TWO CHARACTER FORMULAS FOR $\widehat{\mathfrak{sl}}_2$ SPACES OF COINVARIANTS

M. Jimbo, T. Miwa, B. Feigin, 2002, math/0211354.

Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials

M. Jimbo, T. Miwa, R. Kedem, 2002, math/0208156.

Two Character Formulas for { {sl}}2 Spaces of Coinvariants

M. Jimbo, T. Miwa, B. Feigin, 2004 .

S ep 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT I . FROM EQUIVALENCE THEOREM TO KOSTKA

B. Feigin, 2002 .

2 1 A ug 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA

M. Jimbo, R. Kedem, B. Feigin, 2002 .

O ct 2 00 2 SPACES OF COINVARIANTS AND FUSION PRODUCT II . ŝl 2 CHARACTER FORMULAS IN TERMS OF KOSTKA

M. Jimbo, R. Kedem, B. Feigin, 2002 .

A Monomial Basis for the Virasoro Minimal Series M(p,p′) : The Case 1

M. Jimbo, T. Miwa, Y. Takeyama, 2004, math/0405468.

Schubert varieties and the fusion products

B. Feigin, E. Feigin, 2003 .

Integrable Sl 2 -modules as Infinite Tensor Products

B. Feigin, E. Feigin, 2022 .

Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace

M. Jimbo, T. Miwa, B. Feigin, 2009, 0907.2045.

Fermionic Formulas for (k , 3)-admissible Configurations

M. Jimbo, T. Miwa, Y. Takeyama, 2002, math/0212347.

Principal $\widehat{\mathfrak{sl}_3}$ subspaces and quantum Toda Hamiltonian

M. Jimbo, T. Miwa, B. Feigin, 2009 .

Two-dimensional current algebras and affine fusion product

B. Feigin, E. Feigin, 2006 .

Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis

M. Jimbo, T. Miwa, B. Feigin, 2000, math/0012193.

Interpretational overhead in system software

Boris Feigin, B. Feigin, 2011 .