Hochschild-Mitchell cohomology and Galois extensions

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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.
21 pages

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K-Theory and Homology, Rings and Algebras, 16W50; 18E05; 16W30; 16S40; 16D90

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http://salesiana.dossiersoluciones.com/handle/123456789/103587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510160
 http://arxiv.org/abs/math/0510160

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arXiv