Kirillov--Reshetikhin modules associated to G_2
Representation Theory
2008-11-26 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We define and study the Kirillov--Reshetikhin modules for algebras of type . We compute the graded character of these modules and verify that they are in accordance with the conjectures in math.QA/981202 and math.QA/0102113. These results give the first complete description of families of Kirillov--Reshetikhin modules whose isotypical components have multiplicity bigger than one.
Keywords
Cite
@article{arxiv.math/0604281,
title = {Kirillov--Reshetikhin modules associated to G_2},
author = {Vyjayanthi Chari and Adriano Moura},
journal= {arXiv preprint arXiv:math/0604281},
year = {2008}
}
Comments
19 pages