Kirillov--Reshetikhin modules associated to G_2

Vyjayanthi Chari; Adriano Moura

Kirillov--Reshetikhin modules associated to G_2

表示论 2008-11-26 v1 数学物理 math.MP 量子代数

作者: Vyjayanthi Chari , Adriano Moura

摘要

We define and study the Kirillov--Reshetikhin modules for algebras of type $G_2$ . 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.

关键词

module theory graded algebras

引用

@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}
}

备注

19 pages

相关论文

查看更多相关论文 →

表示论 · 数学

Kirillov-Reshetikhin modules of generalized quantum group of type $A$