299 citations · 1.4k across the 68 of their papers we have counts for
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Combinatorics of vertex operators and deformed -algebra of type D
B. Feigin, M. Jimbo, E. Mukhin
We consider sets of screening operators with fermionic screening currents. We study sums of vertex operators which formally commute with the screening operators assuming that each…
Shuffle algebra realization of quantum affine superalgebra
Boris Feigin, Yue Hu
We give shuffle algebra realization of positive part of quantum affine superalgebra associated to any simple root systems. We also determine…
Functional equations in algebra
Boris Feigin, Alexander Odesskii
We study flat deformations of quotients of a polynomial algebra in a class of graded commutative associative algebras. Functional equations and their solutions in terms of theta fu…
Integrals of motion from quantum toroidal algebras
B. Feigin, M. Jimbo, E. Mukhin
We identify the Taylor coefficients of the transfer matrices corresponding to quantum toroidal algebras with the elliptic local and non-local integrals of motion introduced by Koji…
Rogers-Ramanujan type identities and Nil-DAHA
Ivan Cherednik, Boris Feigin
In the theory of the Nil-DAHA Fourier transform, the inner products of q-Hermite polynomials for the measure function multiplied by a level one theta function are the key. They are…
Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the $\sln$ principal subspace
B. Feigin, M. Jimbo, T. Miwa
We derive a bosonic formula for the character of the principal space in the level vacuum module for , starting from a known fermionic formula for…