Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schur-Weyl reciprocity for the q-analogue of the alternating group   We establish Schur-Weyl reciprocity for the q-analogue of the alternating
group. We analyze the sign q-permutation representation of the Hecke algebra on
the tensor product of the super vector space V in detail, and examine its
restriction to the q-analogue of the alternating group. In consequence, we find
out that if the dimensions of even part and odd part of V are same, then the
centralizer of the q-analogue of the alternating group is a Z_2-crossed product
of the centralizer of the Hecke algebra and obtain Schur-Weyl reciprocity
between them. Though the structure of the centralizer is more complicated for
the general case, we obtained some results about the case.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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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: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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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: q-alg