Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular representation theory of affine and cyclotomic Yokonuma-Hecke
  algebras   We explore the modular representation theory of affine and cyclotomic
Yokonuma-Hecke algebras. We provide an equivalence between the category of
finite dimensional representations of the affine (resp. cyclotomic)
Yokonuma-Hecke algebra and that of an algebra which is a direct sum of tensor
products of affine Hecke algebras of type $A$ (resp. Ariki-Koike algebras). As
one of the applications, the irreducible representations of affine and
cyclotomic Yokonuma-Hecke algebras are classified over an algebraically closed
field of characteristic $p$. Secondly, the modular branching rules for these
algebras are obtained; moreover, the resulting modular branching graphs for
cyclotomic Yokonuma-Hecke algebras are identified with crystal graphs of
irreducible integrable representations of affine Lie algebras of type $A.$

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph