Year: 2024
Type: article
Abstract: 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.
Source: Pacific Journal of Mathematics
Author: Xingpeng Liu
Institution: Southern University of Science and Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4402503947