Graded limits of minimal affinizations over the quantum loop algebra of type $G_2$
Quantum Algebra
2017-07-11 v3
Abstract
The aim of this paper is to study the graded limits of minimal affinizations over the quantum loop algebra of type . We show that the graded limits are isomorphic to multiple generalizations of Demazure modules, and obtain defining relations of them. As an application, we obtain a polyhedral multiplicity formula for the decomposition of minimal affinizations of type as a -module, by showing the corresponding formula for the graded limits.
Keywords
Cite
@article{arxiv.1503.02178,
title = {Graded limits of minimal affinizations over the quantum loop algebra of type $G_2$},
author = {Jian-Rong Li and Katsuyuki Naoi},
journal= {arXiv preprint arXiv:1503.02178},
year = {2017}
}