Evgeny Mukhin

collaborators

3 papers

math.RT2026

Athinization of irreducible $gl_{n}$ -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 $gl_{n}$ by viewing them as thin modules over the affine Yangian $Y(…

math.QA2026

Combinatorial bases in quantum toroidal $gl_{2}$ modules

Michio Jimbo, Evgeny Mukhin

We show that many tame modules of the quantum toroidal $gl_{2}$ algebra can be explicitly constructed in a purely combinatorial way using the theory of $q$ -characters. The…

math.QA2025

On representations of quantum affine $sl_{2}$

Andrei Grigorev, Evgeny Mukhin

We study tensor products of two-dimensional evaluation $U_{q} sl_{2}$ -modules at generic values of $q$ , $U_{q} sl_{2}$ homomorphisms between them, a…

Athinization of irreducible gl​n​-modules with dominant highest weights

Combinatorial bases in quantum toroidal gl2​ modules

On representations of quantum affine sl2​

Athinization of irreducible $gl_{n}$ -modules with dominant highest weights

Combinatorial bases in quantum toroidal $gl_{2}$ modules

On representations of quantum affine $sl_{2}$