Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hochschild-Mitchell cohomology and Galois extensions   We define $H$-Galois extensions for $k$-linear categories and a Hopf algebra
$H$ and prove the existence of a Grothendieck spectral sequence for
Hochschild-Mitchell cohomology, related to this situation. This spectral
sequence is multiplicative and for a $H$ a group algebra decomposes as a direct
sum indexed by the set of conjugacy classes of the group. We also compute some
Hochschild-Mitchell cohomology groups of categories with infinite associated
quiver.

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The categories of this paper are: acc-phys
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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: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci