On the blocks of the walled Brauer algebra

被引：51

作者：

Cox, Anton ^{[1
]}

De Visscher, Maud ^{[1
]}

Doty, Stephen ^{[2
]}

Martin, Paul ^{[3
]}

机构：

[1] City Univ London, Ctr Math Sci, London EC1V 0HB, England

[2] Loyola Univ, Dept Math & Stat, Chicago, IL 60626 USA

[3] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Brauer algebras; representation theory;

D O I：

10.1016/j.jalgebra.2008.01.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type A on a certain set of weights. In positive characteristic we give a linkage principle in terms of orbits of the corresponding affine Weyl group. We also classify the semisimple walled Brauer algebras in all characteristics. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：169 / 212

页数：44

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