Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tube representations and twisting of graded categories   We study deformation of tube algebra under twisting of graded monoidal
categories. When a tensor category $\mathcal{C}$ is graded over a group
$\Gamma$, a torus-valued 3-cocycle on $\Gamma$ can be used to deform the
associator of $\mathcal{C}$. Based on a natural Fell bundle structure of the
tube algebra over the action groupoid of the adjoint action of $\Gamma$, we
show that the tube algebra of the twisted category is a 2-cocycle twisting of
the original one.

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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci