Hochschild-Mitchell cohomology and Galois extensions

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dc.creatorHerscovich, Estanislao
dc.creatorSolotar, Andrea
dc.date2005-10-07
dc.date.accessioned2026-07-07T06:47:13Z
dc.date.available2026-07-07T06:47:13Z
dc.descriptionWe 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.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0510160
dc.identifierhttp://arxiv.org/abs/math/0510160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103587
dc.subjectK-Theory and Homology
dc.subjectRings and Algebras
dc.subject16W50; 18E05; 16W30; 16S40; 16D90
dc.titleHochschild-Mitchell cohomology and Galois extensions
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