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arXiv · 1010.1324

Cellularity of diagram algebras as twisted semigroup algebras

Stewart Wilcox
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Abstract

The Temperley-Lieb and Brauer algebras and their cyclotomic analogues, as well as the partition algebra, are all examples of twisted semigroup algebras. We prove a general theorem about the cellularity of twisted semigroup algebras of regular semigroups. This theorem, which generalises a recent result of East about semigroup algebras of inverse semigroups, allows us to easily reproduce the cellularity of these algebras.

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Stewart Wilcox. 2010-10-07. Cellularity of diagram algebras as twisted semigroup algebras. https://arxiv.org/abs/1010.1324

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