Quantum Grothendieck rings for quantum affine algebras

Abstract

Certain Grothendieck rings of categories of finite dimensional representations admit remarkable non-commutative t-deformations, which are linked to quiver varieties. These deformations are very useful to compute characters, via Kazhdan–Lusztig type decompositions. In this talk, I will present a natural t-deformation of the Grothendieck ring of a category O of representations of quantum affine algebras. Our approach is based on quantum cluster algebras.

Date
Nov 15, 2018
Location
ETH Zürich
Zürich, Switzerland
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Léa Bittmann
Research Associate