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# Cellularity of Diagram Algebras as Twisted Semigroup Algebras

@inproceedings{Wilcox2005CellularityOD, title={Cellularity of Diagram Algebras as Twisted Semigroup Algebras}, author={S. Wilcox}, year={2005} }

- Published 2005

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.