Hernandez-Leclerc modules and snake graphs
Quantum Algebra
2020-10-23 v3 Combinatorics
Abstract
In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2019, Brito and Chari defined a family of modules over quantum affine algebras, called Hernandez-Leclerc modules. We characterize the highest -weight monomials of Hernandez-Leclerc modules. We give a non-recursive formula for -characters of Hernandez-Leclerc modules using snake graphs, which involves an explicit formula for -polynomials. We also give a new recursive formula for -characters of Hernandez-Leclerc modules.
Keywords
Cite
@article{arxiv.2009.09461,
title = {Hernandez-Leclerc modules and snake graphs},
author = {Bing Duan and Jian-Rong Li and Yan-Feng Luo},
journal= {arXiv preprint arXiv:2009.09461},
year = {2020}
}
Comments
36 pages, latex, minor corrections, complements