Hochschild-Mitchell cohomology and Galois extensions

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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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Autores principales:	Herscovich, E., Solotar, A.
Formato:	Artículo publishedVersion
Lenguaje:	Inglés
Publicado:	2007
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00224049_v209_n1_p37_Herscovich
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paperaa:paper_00224049_v209_n1_p37_Herscovich
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spelling	paperaa:paper_00224049_v209_n1_p37_Herscovich2023-06-12T16:44:49Z Hochschild-Mitchell cohomology and Galois extensions J. Pure Appl. Algebra 2007;209(1):37-55 Herscovich, E. Solotar, A. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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)
language	Inglés
orig_language_str_mv	eng
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.
format	Artículo Artículo publishedVersion
author	Herscovich, E. Solotar, A.
spellingShingle	Herscovich, E. Solotar, A. Hochschild-Mitchell cohomology and Galois extensions
author_facet	Herscovich, E. Solotar, A.
author_sort	Herscovich, E.
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	http://hdl.handle.net/20.500.12110/paper_00224049_v209_n1_p37_Herscovich
work_keys_str_mv	AT herscoviche hochschildmitchellcohomologyandgaloisextensions AT solotara hochschildmitchellcohomologyandgaloisextensions
_version_	1769810094627749888

Hochschild-Mitchell cohomology and Galois extensions

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