Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher frobenius-schur indicators for drinfeld doubles of finite groups
  through characters of centralizers   We present a new approach to calculating the higher Frobenius-Schur
indicators for the simple modules over the Drinfeld double of a finite group.
In contrast to the formula by Kashina-Sommerh{\"a}user-Zhu that involves a sum
over all group elements satisfying a certain condition, our formula operates on
the level of conjugacy classes and character tables. It can be implemented in
the computer algebra system GAP, efficiently enough to deal, on a laptop, with
symmetric groups up to $S_{18}$ (providing further evidence that indicators are
non-negative in this case) or simple groups of order up to $2 \cdot 10^8$. The
approach also allows us to test whether all indicators over the double of a
given group are rational , without computing them. Among simple groups of order
up to about $5 \cdot 10^{11}$ an inspection yields exactly one example (of
order about $5 \cdot 10^9$) where irrational indicators occur.

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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: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: q-fin