Cellular algebras and inverse semigroups

被引：15

作者：

East, J ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

JOURNAL OF ALGEBRA | 2006年 / 296卷 / 02期

关键词：

cellular algebras; inverse semigroups;

D O I：

10.1016/j.jalgebra.2005.04.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under certain compatability assumptions, the semigroup algebra of an inverse semigroup is cellular if the group algebras of its maximal subgroups are cellular. Motivating examples include the symmetric inverse semigroup (also known as the rook monoid), and the dual symmetric inverse semigroup. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：505 / 519

页数：15

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