Brauer algebras of type C are cellularly stratified

Author:

Bowman C.

Abstract

AbstractIn a recent paper Cohen, Liu and Yu introduce the Brauer algebra of type C. We show that this algebra is an iterated inflation of hyperoctahedral groups, and that it is cellularly stratified. This allows us to give an indexing set of the standard modules, results on decomposition numbers, and the conditions under which the algebra is quasi-hereditary.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Partition algebras are cellular;Xi;Composition Mathematica,1999

2. Cohomological stratification of diagram algebras

3. Cellular algebras

4. [2] Carter R. W. Simple groups of Lie type. Wiley Classics Library vol. 22 (John Wiley and Sons, 1989).

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Mühlherr's Partitions for Brauer Algebras of Type H3and H4;Communications in Algebra;2016-07-06

2. Brauer algebras of multiply laced Weyl type;Indagationes Mathematicae;2015-05

3. Brauer algebras of type B;Forum Mathematicum;2015-01-01

4. Brauer algebras of type $$\mathrm{I}_2^n$$ I 2 n ( $$n\ge 5$$ n ≥ 5 );Journal of Algebraic Combinatorics;2014-03-21

5. Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero;Journal of Algebra;2013-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3