Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inner products of 2-representations   We define and calculate inner products of 2-representations. Along the way,
we prove that the categorical trace Tr(-) of [Ganter and Kapranov,
Representation and character theory in 2-categories, Sec. 3] is multiplicative
with respect to various notions of categorical tensor product, and we identify
the center of the category V^G of [loc. cit., Sec. 4.2]. We discuss
applications, ranging from Schur's result about the number of projective
representations to a formula for the Hochschild cohomology of a global quotient
orbifold.

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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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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: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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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: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: q-fin