On multiplicity-free weight modules over quantum affine algebras
Representation Theory
2024-03-27 v2 Quantum Algebra
Abstract
In this note, our goal is to construct and study the multiplicity-free weight modules of quantum affine algebras. For this, we introduce the notion of shiftability condition with respect to a symmetrizable generalized Cartan matrix, and investigate its applications on the study of quantum affine algebra structures and the realizations of the infinite-dimensional multiplicity-free weight modules. We also compute the highest -weights of the infinite-dimensional multiplicity-free weight modules as highest -weight modules.
Cite
@article{arxiv.2302.13686,
title = {On multiplicity-free weight modules over quantum affine algebras},
author = {Xingpeng Liu},
journal= {arXiv preprint arXiv:2302.13686},
year = {2024}
}