Abstract
The TemperleyâLieb 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, which allows us to easily reproduce the cellularity of these algebras. This theorem generalizes a result of East about the cellularity of semigroup algebras of inverse semigroups.
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