Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the graded center of graded categories   We study the G-centers of G-graded monoidal categories where G is an
arbitrary group. We prove that for any spherical G-fusion category C over an
algebraically closed field such that the dimension of the neutral component of
C is non-zero, the G-center of C is a G-modular category. This generalizes a
theorem of M. M\"uger corresponding to G=1. We also exhibit interesting objects
of the G-center.

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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex