Cellularity of diagram algebras as twisted semigroup algebras

Details Cellularity of diagram algebras as twisted semigroup algebras Cellularity of diagram algebras as twisted semigroup algebras

2010-10-07

arxiv.org/abs/1010.1324v1

Journal of Algebra 309, Issue 1, pp10-31, 2007

Mathematics

Rings and Algebras

Scientific paper

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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