Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

被引：6

作者：

Bowman, C. ^{[1
]}

Cox, A. G. ^{[2
]}

De Visscher, M. ^{[2
]}

机构：

[1] Inst Math Jussieu, F-75013 Paris, France

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

来源：

JOURNAL OF ALGEBRA | 2013年 / 378卷

关键词：

Brauer algebra; Cyclotomic Brauer algebra; Decomposition numbers; SEMISIMPLICITY; RECOLLEMENT; TOWERS;

D O I：

10.1016/j.jalgebra.2012.12.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero. (C) 2013 Elsevier Inc. All rights reserved.

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页码：80 / 102

页数：23

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