Langlands Duality for Representations and Quantum Groups at a Root of Unity

被引：0

作者：

Kevin McGerty

机构：

[1] Imperial College London,Department of Mathematics

来源：

Communications in Mathematical Physics | 2010年 / 296卷

关键词：

Quantum Group; Weyl Group; Root Data; Generalize Cartan Matrix; Simple Coroots;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a representation-theoretic interpretation of the Langlands character duality of [FH], and show that the “Langlands branching multiplicities” for symmetrizable Kac-Moody Lie algebras are equal to certain tensor product multiplicities. For finite type quantum groups, the connection with tensor products can be explained in terms of tilting modules.

引用

页码：89 / 109

页数：20

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