Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comodule Algebras and 2-Cocycles over the (Braided) Drinfeld Double   We show that for dually paired bialgebras, every comodule algebra over one of
the paired bialgebras gives a comodule algebra over their Drinfeld double via a
crossed product construction. These constructions generalize to working with
bialgebra objects in a braided monoidal category of modules over a
quasitriangular Hopf algebra. Hence two ways to provide comodule algebras over
the braided Drinfeld double (the double bosonization) are provided.
Furthermore, a map of second Hopf algebra cohomology spaces is constructed. It
takes a pair of 2-cocycles over dually paired Hopf algebras and produces a
2-cocycle over their Drinfeld double. This construction also has an analogue
for braided Drinfeld doubles.

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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: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con