Evgeny Mukhin

collaborators

3 papers

math.QA2026

Intertwiners of representations of exceptional type quantum affine superalgebras

Keshav Dahiya, Evgeny Mukhin

We give explicit formulas for the smallest non-trivial irreducible representation $V$ of quantum affine superalgebras in types D $_{2∣1; I^\pm}$ , $dim V = 18$ (in the all-fermionic…

math.QA2025

Intertwiners of representations of twisted quantum affine algebras

Keshav Dahiya, Evgeny Mukhin

We use the $q$ -characters to compute explicit expressions of the $R$ -matrices for first fundamental representations of all types of twisted quantum affine algebras.

math.QA2025

Intertwiners of representations of untwisted quantum affine algebras and Yangians revisited

Keshav Dahiya, Evgeny Mukhin

We discuss applications of the $q$ -characters to the computation of the $R$ -matrices. In particular, we describe the $R$ -matrix acting in the tensor square of the first fundamental…