Quantum affine algebras and cluster algebras
Quantum Algebra
2019-05-08 v2 Representation Theory
Abstract
This article is an extended version of the minicourse given by the second author at the summer school of the conference "Interactions of quantum affine algebras with cluster algebras, current algebras and categorification", held in June 2018 in Washington. The aim of the minicourse, consisting of three lectures, was to present a number of results and conjectures on certain monoidal categories of finite-dimensional representations of quantum affine algebras, obtained by exploiting the fact that their Grothendieck rings have the natural structure of a cluster algebra.
Keywords
Cite
@article{arxiv.1902.01432,
title = {Quantum affine algebras and cluster algebras},
author = {David Hernandez and Bernard Leclerc},
journal= {arXiv preprint arXiv:1902.01432},
year = {2019}
}
Comments
v2: minor corrections. Will appear in the proceedings of the conference "Interactions of quantum affine algebras with cluster algebras, current algebras and categorification"