(Co)homology of crossed products by weak Hopf algebras

Autores
Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A×ρfH, of a weak module algebra A by a weak Hopf algebra H. This complex is endowed with a filtration. The spectral sequence of this filtration generalizes the spectral sequence obtained in [12]. When f takes its values in a separable subalgebra of A that satisfies suitable conditions, the above mentioned mixed complex is provided with another filtration, whose spectral sequence generalize the Feigin-Tsygan spectral sequence.
Fil: Guccione, Jorge Alberto. Instituto de Investigaciones Matematicas Luis A. Santalo (imas); Argentina. Universidad de Buenos Aires; Argentina
Fil: Guccione, Juan Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Valqui, Christian. Pontificia Universidad Católica de Perú; Perú. Instituto de Matemática y Ciencias Afines; Perú
Materia
CROSSED PRODUCTS
CYCLIC HOMOLOGY
HOCHSCHILD (CO)HOMOLOGY
WEAK HOPF ALGEBRAS
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:11336/212092
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling (Co)homology of crossed products by weak Hopf algebrasGuccione, Jorge AlbertoGuccione, Juan JoseValqui, ChristianCROSSED PRODUCTSCYCLIC HOMOLOGYHOCHSCHILD (CO)HOMOLOGYWEAK HOPF ALGEBRAShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A×ρfH, of a weak module algebra A by a weak Hopf algebra H. This complex is endowed with a filtration. The spectral sequence of this filtration generalizes the spectral sequence obtained in [12]. When f takes its values in a separable subalgebra of A that satisfies suitable conditions, the above mentioned mixed complex is provided with another filtration, whose spectral sequence generalize the Feigin-Tsygan spectral sequence.Fil: Guccione, Jorge Alberto. Instituto de Investigaciones Matematicas Luis A. Santalo (imas); Argentina. Universidad de Buenos Aires; ArgentinaFil: Guccione, Juan Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Valqui, Christian. Pontificia Universidad Católica de Perú; Perú. Instituto de Matemática y Ciencias Afines; PerúAcademic Press Inc Elsevier Science2023-05info: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/11336/212092Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; (Co)homology of crossed products by weak Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 622; 5-2023; 30-680021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2023.01.007info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0021869323000145?via%3Dihubinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1907.05229info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:20:59Zoai:ri.conicet.gov.ar:11336/212092instacron: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:34982025-09-10 13:21:00.132CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv (Co)homology of crossed products by weak Hopf algebras
title (Co)homology of crossed products by weak Hopf algebras
spellingShingle (Co)homology of crossed products by weak Hopf algebras
Guccione, Jorge Alberto
CROSSED PRODUCTS
CYCLIC HOMOLOGY
HOCHSCHILD (CO)HOMOLOGY
WEAK HOPF ALGEBRAS
title_short (Co)homology of crossed products by weak Hopf algebras
title_full (Co)homology of crossed products by weak Hopf algebras
title_fullStr (Co)homology of crossed products by weak Hopf algebras
title_full_unstemmed (Co)homology of crossed products by weak Hopf algebras
title_sort (Co)homology of crossed products by weak Hopf algebras
dc.creator.none.fl_str_mv Guccione, Jorge Alberto
Guccione, Juan Jose
Valqui, Christian
author Guccione, Jorge Alberto
author_facet Guccione, Jorge Alberto
Guccione, Juan Jose
Valqui, Christian
author_role author
author2 Guccione, Juan Jose
Valqui, Christian
author2_role author
author
dc.subject.none.fl_str_mv CROSSED PRODUCTS
CYCLIC HOMOLOGY
HOCHSCHILD (CO)HOMOLOGY
WEAK HOPF ALGEBRAS
topic CROSSED PRODUCTS
CYCLIC HOMOLOGY
HOCHSCHILD (CO)HOMOLOGY
WEAK HOPF ALGEBRAS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A×ρfH, of a weak module algebra A by a weak Hopf algebra H. This complex is endowed with a filtration. The spectral sequence of this filtration generalizes the spectral sequence obtained in [12]. When f takes its values in a separable subalgebra of A that satisfies suitable conditions, the above mentioned mixed complex is provided with another filtration, whose spectral sequence generalize the Feigin-Tsygan spectral sequence.
Fil: Guccione, Jorge Alberto. Instituto de Investigaciones Matematicas Luis A. Santalo (imas); Argentina. Universidad de Buenos Aires; Argentina
Fil: Guccione, Juan Jose. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
Fil: Valqui, Christian. Pontificia Universidad Católica de Perú; Perú. Instituto de Matemática y Ciencias Afines; Perú
description We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A×ρfH, of a weak module algebra A by a weak Hopf algebra H. This complex is endowed with a filtration. The spectral sequence of this filtration generalizes the spectral sequence obtained in [12]. When f takes its values in a separable subalgebra of A that satisfies suitable conditions, the above mentioned mixed complex is provided with another filtration, whose spectral sequence generalize the Feigin-Tsygan spectral sequence.
publishDate 2023
dc.date.none.fl_str_mv 2023-05
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/11336/212092
Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; (Co)homology of crossed products by weak Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 622; 5-2023; 30-68
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/212092
identifier_str_mv Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; (Co)homology of crossed products by weak Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 622; 5-2023; 30-68
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2023.01.007
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0021869323000145?via%3Dihub
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1907.05229
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 Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
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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score 12.48226

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