Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cellularity of diagram algebras as twisted semigroup algebras   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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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph