Hochschild-Mitchell cohomology and Galois extensions

We define H-Galois extensions for k-linear categories 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 group algebra decomposes as a direct sum indexed by conjugacy classes of...

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Autor principal: Solotar, Andrea Leonor
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v209_n1_p37_Herscovich
http://hdl.handle.net/20.500.12110/paper_00224049_v209_n1_p37_Herscovich
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00224049_v209_n1_p37_Herscovich
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spelling paper:paper_00224049_v209_n1_p37_Herscovich2023-06-08T14:50:41Z Hochschild-Mitchell cohomology and Galois extensions Solotar, Andrea Leonor We define H-Galois extensions for k-linear categories 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 group algebra decomposes as a direct sum indexed by conjugacy classes of the group. We also compute some Hochschild-Mitchell cohomology groups of categories with infinite associated quivers. © 2006 Elsevier Ltd. All rights reserved. Fil:Solotar, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v209_n1_p37_Herscovich http://hdl.handle.net/20.500.12110/paper_00224049_v209_n1_p37_Herscovich
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We define H-Galois extensions for k-linear categories 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 group algebra decomposes as a direct sum indexed by conjugacy classes of the group. We also compute some Hochschild-Mitchell cohomology groups of categories with infinite associated quivers. © 2006 Elsevier Ltd. All rights reserved.
author Solotar, Andrea Leonor
spellingShingle Solotar, Andrea Leonor
Hochschild-Mitchell cohomology and Galois extensions
author_facet Solotar, Andrea Leonor
author_sort Solotar, Andrea Leonor
title Hochschild-Mitchell cohomology and Galois extensions
title_short Hochschild-Mitchell cohomology and Galois extensions
title_full Hochschild-Mitchell cohomology and Galois extensions
title_fullStr Hochschild-Mitchell cohomology and Galois extensions
title_full_unstemmed Hochschild-Mitchell cohomology and Galois extensions
title_sort hochschild-mitchell cohomology and galois extensions
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v209_n1_p37_Herscovich
http://hdl.handle.net/20.500.12110/paper_00224049_v209_n1_p37_Herscovich
work_keys_str_mv AT solotarandrealeonor hochschildmitchellcohomologyandgaloisextensions
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