The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras

We study the restriction of simple modules Df,λ of Birman-Murakami-Wenzl algebras Bn(r,q) with q  being not a root of 1. Precisely, we study the module structure for the restriction of Df,λ to Bn-1(r,q) and describe the socle and head of the restriction of each simple module completely.

Bibliographic Details
Main Author: Xu Xu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2015/876251