A combinatorial model for $q$-characters of fundamental modules of type $D_{n}$
Quantum Algebra
2023-05-24 v1 Combinatorics
Representation Theory
Abstract
In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type , inspired by Mukhin and Young's combinatorial path models of representations of the quantum affine algebras of types and . In particular, we give a combinatorial formula for -characters of fundamental modules of type by assigning each path to a monomial or binomial. By counting our paths, a new expression on dimensions of fundamental modules of type is obtained.
Keywords
Cite
@article{arxiv.2305.13671,
title = {A combinatorial model for $q$-characters of fundamental modules of type $D_{n}$},
author = {Jun Tong and Bing Duan and Yanfeng Luo},
journal= {arXiv preprint arXiv:2305.13671},
year = {2023}
}