Cluster algebras and quantum affine algebras
Quantum Algebra
2019-12-19 v3 Rings and Algebras
Representation Theory
Abstract
Let C be the category of finite-dimensional representations of a quantum affine algebra of simply-laced type. We introduce certain monoidal subcategories C_l (l integer) of C and we study their Grothendieck rings using cluster algebras.
Cite
@article{arxiv.0903.1452,
title = {Cluster algebras and quantum affine algebras},
author = {David Hernandez and Bernard Leclerc},
journal= {arXiv preprint arXiv:0903.1452},
year = {2019}
}
Comments
55 pages, accepted for publication in Duke Mathematical Journal