Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclotomic Temperley-Lieb algebra of type D and its representation
  theory   We define a new class of algebras, cyclotomic Temperley-Lieb algebras of type
D, in a diagrammatic way, which is a generalization of Temperley-Lieb algebras
of type D. We prove that the cyclotomic Temperley-Lieb algebras of type D are
cellular. In fact, an explicit cellular basis is given by means of
combinatorial methods. After determining all the irreducible representations of
these algebras, we give a necessary and sufficient condition for a cyclotomic
Temperley-Lieb algebra of type D to be quasi-hereditary.

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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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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: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: physics