A cluster algebra approach to q-characters of Kirillov-Reshetikhin modules
Quantum Algebra
2020-05-18 v1 Algebraic Geometry
Combinatorics
Representation Theory
Abstract
We describe a cluster algebra algorithm for calculating q-characters of Kirillov-Reshetikhin modules for any untwisted quantum affine algebra. This yields a geometric q-character formula for tensor products of Kirillov-Reshetikhin modules. In simply laced type this formula extends Nakajima's formula for q-characters of standard modules in terms of homology of graded quiver varieties.
Keywords
Cite
@article{arxiv.1303.0744,
title = {A cluster algebra approach to q-characters of Kirillov-Reshetikhin modules},
author = {Bernard Leclerc and David Hernandez},
journal= {arXiv preprint arXiv:1303.0744},
year = {2020}
}
Comments
45 pages