Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cell 2-Representations and Categorification at Prime Roots of Unity   Motivated by recent advances in the categorification of quantum groups at
prime roots of unity, we develop a theory of 2-representations for 2-categories
enriched with a p-differential which satisfy finiteness conditions analogous to
those of finitary or fiat 2-categories. We construct cell 2-representations in
this setup, and consider 2-categories stemming from bimodules over a p-dg
category in detail. This class is of particular importance in the
categorification of quantum groups, which allows us to apply our results to
cyclotomic quotients of the categorifications of small quantum group of type
$\mathfrak{sl}_2$ at prime roots of unity by Elias-Qi [Advances in Mathematics
288 (2016)]. Passing to stable 2-representations gives a way to construct
triangulated 2-representations, but our main focus is on working with p-dg
enriched 2-representations that should be seen as a p-dg enhancement of these
triangulated ones.

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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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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: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg