Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite generation of cohomology for Drinfeld doubles of finite group
  schemes   We prove that the Drinfeld double of an arbitrary finite group scheme has
finitely generated cohomology. That is to say, for G any finite group scheme,
and D(G) the Drinfeld double of the group ring kG, we show that the
self-extension algebra of the trivial representation for D(G) is a finitely
generated algebra, and that for each D(G)-representation V the extensions from
the trivial representation to V form a finitely generated module over the
aforementioned algebra. As a corollary, we find that all categories rep(G)*_M
dual to rep(G) are of also of finite type (i.e. have finitely generated
cohomology), and we provide a uniform bound on their Krull dimensions. This
paper completes earlier work of E. M. Friedlander and the author.

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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci