Cellularity of diagram algebras as twisted semigroup algebras
Rings and Algebras
2010-10-08 v1
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.
Keywords
Cite
@article{arxiv.1010.1324,
title = {Cellularity of diagram algebras as twisted semigroup algebras},
author = {Stewart Wilcox},
journal= {arXiv preprint arXiv:1010.1324},
year = {2010}
}