Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $FSZ$-groups and Frobenius-Schur Indicators of Quantum Doubles   We study the higher Frobenius-Schur indicators of the representations of the
Drinfel'd double of a finite group G, in particular the question as to when all
the indicators are integers. This turns out to be an interesting
group-theoretic question. We show that many groups have this property, such as
alternating and symmetric groups, PSL_2(q), M_{11}, M_{12} and regular
nilpotent groups. However we show there is an irregular nilpotent group of
order 5^6 with non-integer indicators.

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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: bayes-an