The first Hochschild cohomology group of a schurian cluster-tilted algebra

Autores
Assem, Ibrahim; Redondo, Maria Julia
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type Ã.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
Cohomology
Hocshchild
Algebras
Cluster
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/79551

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spelling The first Hochschild cohomology group of a schurian cluster-tilted algebraAssem, IbrahimRedondo, Maria JuliaCohomologyHocshchildAlgebrasClusterhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type Ã.Fil: Assem, Ibrahim. University of Sherbrooke; CanadáFil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaSpringer2009-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/79551Assem, Ibrahim; Redondo, Maria Julia; The first Hochschild cohomology group of a schurian cluster-tilted algebra; Springer; Manuscripta Mathematica; 128; 3; 3-2009; 373-3880025-26111432-1785CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00229-008-0238-zinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/0712.2962info:eu-repo/semantics/altIdentifier/doi/10.1007/s00229-008-0238-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:57:50Zoai:ri.conicet.gov.ar:11336/79551instacron: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:34982025-10-15 14:57:50.732CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The first Hochschild cohomology group of a schurian cluster-tilted algebra
title The first Hochschild cohomology group of a schurian cluster-tilted algebra
spellingShingle The first Hochschild cohomology group of a schurian cluster-tilted algebra
Assem, Ibrahim
Cohomology
Hocshchild
Algebras
Cluster
title_short The first Hochschild cohomology group of a schurian cluster-tilted algebra
title_full The first Hochschild cohomology group of a schurian cluster-tilted algebra
title_fullStr The first Hochschild cohomology group of a schurian cluster-tilted algebra
title_full_unstemmed The first Hochschild cohomology group of a schurian cluster-tilted algebra
title_sort The first Hochschild cohomology group of a schurian cluster-tilted algebra
dc.creator.none.fl_str_mv Assem, Ibrahim
Redondo, Maria Julia
author Assem, Ibrahim
author_facet Assem, Ibrahim
Redondo, Maria Julia
author_role author
author2 Redondo, Maria Julia
author2_role author
dc.subject.none.fl_str_mv Cohomology
Hocshchild
Algebras
Cluster
topic Cohomology
Hocshchild
Algebras
Cluster
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type Ã.
Fil: Assem, Ibrahim. University of Sherbrooke; Canadá
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description Given a cluster-tilted algebra B we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. We find several consequences when B is representation-finite, and also in the case where B is cluster-tilted of type Ã.
publishDate 2009
dc.date.none.fl_str_mv 2009-03
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/11336/79551
Assem, Ibrahim; Redondo, Maria Julia; The first Hochschild cohomology group of a schurian cluster-tilted algebra; Springer; Manuscripta Mathematica; 128; 3; 3-2009; 373-388
0025-2611
1432-1785
CONICET Digital
CONICET
url http://hdl.handle.net/11336/79551
identifier_str_mv Assem, Ibrahim; Redondo, Maria Julia; The first Hochschild cohomology group of a schurian cluster-tilted algebra; Springer; Manuscripta Mathematica; 128; 3; 3-2009; 373-388
0025-2611
1432-1785
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://link.springer.com/article/10.1007/s00229-008-0238-z
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/0712.2962
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00229-008-0238-z
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
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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