On central idempotents in the Brauer algebra

被引：2

作者：

King, O. H. ^{[1
]}

Martin, P. P. ^{[1
]}

Parker, A. E. ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2018年 / 512卷

基金：

英国工程与自然科学研究理事会;

关键词：

Representation theory; Central idempotents; Diagram algebras; Brauer algebra; SYMMETRIC-GROUPS; HECKE ALGEBRAS; MODULES; BLOCKS; REPRESENTATIONS; CONJECTURE; CATEGORIES; FIELD;

D O I：

10.1016/j.jalgebra.2018.06.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a method for constructing central idempotents in the Brauer algebra (using the splitting of short exact sequences of bimodules). From this we determine certain primitive central idempotents. By working over a suitable integral ring we hence demonstrate an efficient method of constructing pieces of the representation theory of the Brauer algebra over Artinian rings from the integral case. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：20 / 46

页数：27

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