On the semisimplicity of the cyclotomic Brauer algebras, II

被引：5
|
作者：
Rui, Hebing [1 ]
Xu, Jie [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2007年 / 312卷 / 02期
基金：
中国国家自然科学基金;
关键词：
cyclotomic Brauer algebras; cellular algebras; semisimple;
D O I：
10.1016/j.jalgebra.2007.03.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a necessary and sufficient condition for the sernisimplicity of cyclotomic Brauer algebras B-m,B-n (delta) of types G (m, 1, n) with m >= 2. This generalizes [H. Rui, A criterion on the semisimple Brauer algebras, J. Combin. Theory Ser. A 111 (2005) 78-88, 1.2-1.31 and [H. Rui, M. Si, A criterion on the semisimple Brauer algebras, II, J. Combin. Theory Ser. A 113 (2006) 1199-1203, 2.5] on Brauer algebras. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：995 / 1010
页数：16
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