A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket

We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of A as an A-bimodule, without having recourse to comparison ma...

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Detalles Bibliográficos
Autor: Suárez-Alvarez, Mariano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/55506
Acceso en línea:http://hdl.handle.net/11336/55506
Access Level:acceso abierto
Palabra clave:HOCHSCHILD COHOMOLOGY
DERIVATIONS
GERSTENHABER BRACKET
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracketSuárez-Alvarez, MarianoHOCHSCHILD COHOMOLOGYDERIVATIONSGERSTENHABER BRACKEThttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of A as an A-bimodule, without having recourse to comparison maps between the resolution and the bar resolution.Fil: Suárez-Alvarez, Mariano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaElsevier Science2017-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55506Suárez-Alvarez, Mariano; A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket; Elsevier Science; Journal Of Pure And Applied Algebra; 221; 8; 8-2017; 1981-19980002-9939CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404916301876info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2016.10.015info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1604.06507info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:58:14Zoai:ri.conicet.gov.ar:11336/55506instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982024-05-08 13:58:14.454CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
spellingShingle A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
Suárez-Alvarez, Mariano
HOCHSCHILD COHOMOLOGY
DERIVATIONS
GERSTENHABER BRACKET
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_full A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_fullStr A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_full_unstemmed A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
title_sort A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
dc.creator.none.fl_str_mv Suárez-Alvarez, Mariano
author Suárez-Alvarez, Mariano
author_facet Suárez-Alvarez, Mariano
author_role author
dc.subject.none.fl_str_mv HOCHSCHILD COHOMOLOGY
DERIVATIONS
GERSTENHABER BRACKET
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic HOCHSCHILD COHOMOLOGY
DERIVATIONS
GERSTENHABER BRACKET
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of A as an A-bimodule, without having recourse to comparison maps between the resolution and the bar resolution.
publishDate 2017
dc.date.none.fl_str_mv 2017-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/55506
Suárez-Alvarez, Mariano; A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket; Elsevier Science; Journal Of Pure And Applied Algebra; 221; 8; 8-2017; 1981-1998
0002-9939
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55506
identifier_str_mv Suárez-Alvarez, Mariano; A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket; Elsevier Science; Journal Of Pure And Applied Algebra; 221; 8; 8-2017; 1981-1998
0002-9939
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022404916301876
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jpaa.2016.10.015
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1604.06507
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 15.81155

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