The third cohomology group classifies double central extensions

Bibliographic Details
Main Author: Rodelo, Diana
Publication Date: 2008
Other Authors: Linden, Tim Van der
Format: Other
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/11209
Summary: We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.
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spelling The third cohomology group classifies double central extensionsCohomologyCategorical Galois theorySemi-abelian categoryHigher central extensionBaer sumWe characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.FCT/Centro de Matemática da Universidade de Coimbra; Vrije Universiteit BrusselCentro de Matemática da Universidade de Coimbra2008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/otherhttps://hdl.handle.net/10316/11209https://hdl.handle.net/10316/11209engPré-Publicações DMUC. 08-55 (2008)Rodelo, DianaLinden, Tim Van derinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2020-05-25T13:11:25Zoai:estudogeral.uc.pt:10316/11209Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:23:18.568534Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv The third cohomology group classifies double central extensions
title The third cohomology group classifies double central extensions
spellingShingle The third cohomology group classifies double central extensions
Rodelo, Diana
Cohomology
Categorical Galois theory
Semi-abelian category
Higher central extension
Baer sum
title_short The third cohomology group classifies double central extensions
title_full The third cohomology group classifies double central extensions
title_fullStr The third cohomology group classifies double central extensions
title_full_unstemmed The third cohomology group classifies double central extensions
title_sort The third cohomology group classifies double central extensions
author Rodelo, Diana
author_facet Rodelo, Diana
Linden, Tim Van der
author_role author
author2 Linden, Tim Van der
author2_role author
dc.contributor.author.fl_str_mv Rodelo, Diana
Linden, Tim Van der
dc.subject.por.fl_str_mv Cohomology
Categorical Galois theory
Semi-abelian category
Higher central extension
Baer sum
topic Cohomology
Categorical Galois theory
Semi-abelian category
Higher central extension
Baer sum
description We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/other
format other
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/11209
https://hdl.handle.net/10316/11209
url https://hdl.handle.net/10316/11209
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pré-Publicações DMUC. 08-55 (2008)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
publisher.none.fl_str_mv Centro de Matemática da Universidade de Coimbra
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602338920595456

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