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19942023
most citedThe q-characters of representations of quantum affine algebras and deformations of W-algebras

131 citations · 1.2k across the 53 of their papers we have counts for

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math.RT2023

Quantum superintegrable spin systems on graph connections

Nicolai Reshetikhin, Jasper Stokman

In this paper we construct certain quantum spin systems on moduli spaces of -connections on a connected oriented finite graph, with a simply connected compact Lie group. We…

math.RT2020

Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains

Nicolai Reshetikhin, Jasper Stokman

Asymptotic boundary KZB equations describe the consistency conditions of degenerations of correlation functions for boundary Wess-Zumino-Witten-Novikov conformal field theory on a…

math.RT2020★ 22 cited

N-point spherical functions and asymptotic boundary KZB equations

Jasper Stokman, Nicolai Reshetikhin

Let be a split real connected Lie group with finite center. In the first part of the paper we define and study formal elementary spherical functions. They are formal power seri…

math.RT2019★ 2 cited

Schur-Weyl type duality for quantized gl(1|1),the Burau representation of braid groups and invariants of tangled graphs

N. Reshetikhin, C. Stroppel, B. Webster

We show that the Schur-Weyl type duality between and gives a natural representation-theoretic setting for the relation between reduced and non-reduced Burau repres…

math.RT2018★ 10 cited

On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras

Olga Postnova, Nicolai Reshetikhin

In this paper we study the asymptotic of multiplicities of irreducible representations in large tensor products of finite dimensional representations of simple Lie algebras and the…