Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a symmetry of M\"uger's centralizer for the Drinfeld double of a
  semisimple Hopf algebra   In this paper we prove a formula that relates M\"uger's centralizer in the
category of representations of a factorizable Hopf algebra to the notion of
Hopf kernel of a representation of the dual Hopf algebra. Using this relation
we obtain a complete description for M\"uger's centralizer of some fusion
subcategories of the fusion category of finite dimensional representations of a
Drinfeld double of a semisimple Hopf algebra.

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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn