Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstandard q-deformation of the universal enveloping algebra $U'({\rm
  so}_n)$   We describe properties of the nonstandard q-deformation $U'_q({\rm so}_n)$ of
the universal enveloping algebra $U({\rm so}_n)$ of the Lie algebra ${\rm
so}_n$ which does not coincide with the Drinfeld--Jimbo quantum algebra
$U_q({\rm so}_n)$. Irreducible representations of this algebras for q a root of
unity q^p=1 are given. These representations act on p^N-dimensional linear
space (where N is a number of positive roots of the Lie algebra ${\rm so}_n$)
and are given by $r={\rm dim} {\rm so}_n$ complex parameters.

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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con