Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasitriangular structures of the double of a finite group   We give a classification of all quasitriangular structures and ribbon
elements of $\mathcal{D}(G)$ explicitly in terms of group homomorphisms and
central subgroups. This can equivalently be interpreted as an explicit
description of all braidings with which the tensor category
$\operatorname{Rep}(\mathcal{D}(G))$ can be endowed. We also characterize their
equivalence classes under the action of $\operatorname{Aut}(\mathcal{D}(G))$
and determine when they are factorizable.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs