Cellular algebras and inverse semigroups

James East

doi:10.1016/j.jalgebra.2005.04.027

Cellular algebras and inverse semigroups

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	505-519
Number of pages	15
Journal	Journal of Algebra
Volume	296
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2005.04.027
Publication status	Published - 2006

Keywords

algebra
cellular
inverse

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title = "Cellular algebras and inverse semigroups",

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AB - 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.

KW - algebra

KW - cellular

KW - inverse

UR - http://handle.uws.edu.au:8081/1959.7/uws:28953

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DO - 10.1016/j.jalgebra.2005.04.027

M3 - Article

SN - 1090-266X

SN - 0021-8693

VL - 296

SP - 505

EP - 519

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Cellular algebras and inverse semigroups

Abstract

Keywords

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