Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An isomorphism theorem for degenerate cyclotomic Yokonuma-Hecke algebras
  and applications   Inspired by the work [PA], we establish an explicit algebra isomorphism
between the degenerate cyclotomic Yokonuma-Hecke algebra $Y_{r,n}^{d}(q)$ and a
direct sum of matrix algebras over tensor products of degenerate cyclotomic
Hecke algebras of type $A$. We then develop several applications of this
result, including a new proof of the modular representation theory of
$Y_{r,n}^{d}(q)$, a semisimplicity criterion for it and cellularity of it.
Moreover, we prove that $Y_{r,n}^{d}(q)$ is a symmetric algebra and determine
the associated Schur elements by using the isomorphism theorem for it.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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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: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: q-bio