Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categories of Weight Modules for Unrolled Restricted Quantum Groups at
  Roots of Unity   Motivated by connections to the singlet vertex operator algebra in the
$\mathfrak{g}=\mathfrak{sl}_2$ case, we study the unrolled restricted quantum
groups $\overline{U}_q^H(\mathfrak{g})$ at arbitrary roots of unity with a
focus on its category of weight modules. We show that the braid group action on
the Drinfeld-Jimbo algebra $U_q(\mathfrak{g})$ naturally extends to the
unrolled quantum groups and that the category of weight modules is a
generically semi-simple ribbon category (previously known only for odd roots)
with trivial M\"{u}ger center. Projective covers of simple modules are shown to
be self-dual, and some preliminary connections to the higher rank singlet
vertex operator algebras are motivated.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: gr-qc