Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cellular structure of $q$-Brauer algebras   In this paper we consider the $q$-Brauer algebra over $R$ a commutative
noetherian domain. We first construct a new basis for $q$-Brauer algebras, and
we then prove that it is a cell basis, and thus these algebras are cellular in
the sense of Graham and Lehrer. In particular, they are shown to be an iterated
inflation of Hecke algebras of type $A_{n-1}.$ Moreover, when $R$ is a field of
arbitrary characteristic, we determine for which parameters the $q$-Brauer
algebras are quasi-heredity. So the general theory of cellular algebras and
quasi-hereditary algebras applies to $q$-Brauer algebras. As a consequence, we
can determine all irreducible representations of $q$-Brauer algebras by linear
algebra methods.

34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an