Cellularity of Diagram Algebras as Twisted Semigroup Algebras

نویسنده

  • Stewart Wilcox
چکیده

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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تاریخ انتشار 2005