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papers

Publications (55)

math.QA2002

Q-characters of the tensor products

B. Feigin, E. Feigin

math.QA2001

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

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2006

Sets of rigged paths with Virasoro characters

B. Feigin, M. Jimbo, T. Miwa +2

math.QA2001

Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants III

B. Feigin, R. Kedem, S. Loktev +2

math.CO2018

Plane partitions with a "pit": generating functions and representation theory

M. Bershtein, B. Feigin, G. Merzon

math.QA2018

Branching rules for quantum toroidal gl(n)

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2009

Gaudin models with irregular singularities

B. Feigin, E. Frenkel, V. Toledano-Laredo

math.QA2002

Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2002

Integrable $\hat{\mathfrak{sl}_2}$-modules as infinite tensor products

B. Feigin, E. Feigin

math.QA2015

Quantum toroidal gl(1) and Bethe ansatz

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2006

Two dimensional current algebras and affine fusion product

B. Feigin, E. Feigin

math.QA1999

On generalized Kostka polynomials and quantum Verlinde rule

B. Feigin, S. Loktev

math.QA2003

Deformation of Weyl Modules and Generalized Parking Functions

B. Feigin, S. Loktev

math.QA2011

Quantum toroidal $\mathfrak{gl}_1$ algebra : plane partitions

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2006

Homological realization of the restricted Kostka polynomials

B. Feigin, E. Feigin

hep-th2007

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

B. Feigin, E. Feigin, I. Tipunin

math.QA2003

Two character formulas for $\hat{sl_2}$ spaces of coinvariants

B. Feigin, M. Jimbo, S. Loktev +1

math.QA2010

Quantum continuous $gl_\infty$: Tensor products of Fock modules and $W_n$ characters

B. Feigin, E. Feigin, M. Jimbo +2

math.QA2006

A $ϕ_{1,3}$-filtration of the Virasoro minimal series M(p,p') with 1<p'/p< 2

B. Feigin, E. Feigin, M. Jimbo +2

math.QA2002

Particle content of the (k,3)-configurations

B. Feigin, M. Jimbo, T. Miwa +2

math.QA2010

Kernel function and quantum algebras

B. Feigin, A. Hoshino, J. Shibahara +2

math-ph2007

The Integrals of Motion for the Deformed Virasoro Algebra

B. Feigin, T. Kojima, J. Shiraishi +1

math.QA2006

Combinatorics and Geometry of Higher Level Weyl Modules

B. Feigin, A. N. Kirillov, S. Loktev

math.QA2018

The $(\mathfrak{gl}_m,\mathfrak{gl}_n$) duality in the quantum toroidal setting

B. Feigin, M. Jimbo, E. Mukhin

math.QA2017

Integrals of motion from quantum toroidal algebras

B. Feigin, M. Jimbo, E. Mukhin

math.QA2001

Bosonic formulas for (k,l)-admissible partitions

B. Feigin, M. Jimbo, S. Loktev +2

math.QA2016

Finite type modules and Bethe ansatz equations

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2004

A monomial basis for the Virasoro minimal series M(p,p') : the case 1<p'/p<2

B. Feigin, M. Jimbo, T. Miwa +2

q-alg1997

Algebra of screening operators for the deformed $W_n$ algebra

B. Feigin, M. Jimbo, T. Miwa +2

math.QA2002

Symmetric polynomials vanishing on the diagonals shifted by roots of unity

B. Feigin, M. Jimbo, T. Miwa +2

q-alg1996

Separation of variables for Gaudin-Calogero systems

B. Enriquez, B. Feigin, V. Rubtsov

hep-th2011

Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories

V. Belavin, B. Feigin

math.QA2001

On finitization of the Gordon identities

B. Feigin, S. Loktev

math.QA2012

Representations of quantum toroidal $gl_n$

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2007

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

B. Feigin, E. Feigin, M. Jimbo +2

math.QA2004

Principle subspace for bosonic vertex operator $ϕ_{\sqrt{2m}}(z)$ and Jack polynomials

B. Feigin, E. Feigin

math.QA2002

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

B. Feigin, M. Jimbo, R. Kedem +2

math.QA2003

A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)

B. Feigin, M. Jimbo, M. Kashiwara +3

math.QA2018

Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian

B. Feigin, E. Feigin, M. Jimbo +2

math.QA2010

Quantum continuous $\mathfrak{gl}_\infty$: Semi-infinite construction of representations

B. Feigin, E. Feigin, M. Jimbo +2

math.QA2004

Schubert varieties and the fusion products

B. Feigin, E. Feigin

math.QA2004

Multi-dimensional Weyl Modules and Symmetric Functions

B. Feigin, S. Loktev

math.CO2009

A commutative algebra on degenerate CP^1 and Macdonald polynomials

B. Feigin, K. Hashizume, A. Hoshino +2

math-ph2007

The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^)

B. Feigin, T. Kojima, J. Shiraishi +1

math.QA2001

Addendum to `Bosonic formulas for $(k,l)$-admissible partitions'

B. Feigin, M. Jimbo, S. Loktev +2

math.QA2002

Fermionic formulas for (k, 3)-admissible configurations

B. Feigin, M. Jimbo, T. Miwa +2

math.QA2002

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

B. Feigin, M. Jimbo, R. Kedem +2

math-ph2011

Notes on Ding-Iohara algebra and AGT conjecture

H. Awata, B. Feigin, A. Hoshino +3

hep-th2011

Quantum Algebraic Approach to Refined Topological Vertex

H. Awata, B. Feigin, J. Shiraishi

math.QA2009

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

B. Feigin, M. Jimbo, T. Miwa

math-ph2001

Combinatorics of the $\hat{sl}_2$ Spaces of Coinvariants

B. Feigin, R. Kedem, S. Loktev +2

math.QA2016

Finite type modules and Bethe Ansatz for quantum toroidal gl(1)

B. Feigin, M. Jimbo, T. Miwa +1

math.QA2002

Vertex operator algebra arising from the minimal series M(3,p) and monomial basis

B. Feigin, M. Jimbo, T. Miwa

math.QA2015

Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations

M. Bershtein, B. Feigin, A. Litvinov

math.QA2001

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

B. Feigin, R. Kedem, S. Loktev +2