52 citations · 84 across the 9 of their papers we have counts for
10 papers
Athinization of irreducible -modules with dominant highest weights
Mikhail Bershtein, Evgeny Mukhin, Leonid Rybnikov +1
We study the Gelfand-Tsetlin realization of generic Verma modules for the affine Lie algebra by viewing them as thin modules over the affine Yangian $Y(…
On representations of quantum affine
Andrei Grigorev, Evgeny Mukhin
We study tensor products of two-dimensional evaluation -modules at generic values of , homomorphisms between them, a…
Combinatorial bases in quantum toroidal modules
Michio Jimbo, Evgeny Mukhin
We show that many tame modules of the quantum toroidal algebra can be explicitly constructed in a purely combinatorial way using the theory of -characters. The…
The deformed Tanisaki-Garsia-Procesi modules
Maico Freitas, Evgeny Mukhin
The polynomial ideals studied by A. Garsia and C. Procesi play an important role in the theory of Kostka polynomials. We give multiparameter flat deformations of these ideals and d…
-functions for lambda opers
Davide Masoero, Evgeny Mukhin, Andrea Raimondo
We consider the Schrödinger operators which are constructed from the -opers corresponding to solutions of the Gaudin Bethe Ansatz equations. We defin…
Quantum Toroidal Comodule Algebra of Type and Integrals of Motion
Boris Feigin, Michio Jimbo, Evgeny Mukhin
We introduce an algebra which has a structure of a left comodule over the quantum toroidal algebra of type . Algebra is a higher rank gener…