(Co)homology of crossed products by weak Hopf algebras

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dc.contributor.affiliationPontificia Universidad Católica del Perú. Sección Matemáticas
dc.contributor.authorGuccione, J.A.
dc.contributor.authorGuccione, J.J.
dc.contributor.authorValqui, C.
dc.date.accessioned2026-03-13T17:00:14Z
dc.date.issued2023
dc.description.abstractWe obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle Axf/pH , 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.
dc.description.sponsorshipFunding: Jorge A. Guccione and Juan J. Guccione were supported by CONICET PIP 2021-2023 GI, 11220200100423CO and CONCYTEC-FONDECYT within the framework of the contest "Proyectos de Investigación Básica 2020-01" [contract number 120-2020-FONDECYT].Christian Valqui was supported by CONCYTEC-FONDECYT within the framework of the contest "Proyectos de Investigación Básica 2020-01" [contract number 120-2020-FONDECYT].
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2023.01.007
dc.identifier.urihttp://hdl.handle.net/20.500.14657/206551
dc.language.isoeng
dc.publisherAcademic Press
dc.relation.ispartofurn:issn:0021-8693
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.sourceJournal of Algebra; Vol. 622 (2023)
dc.subjectInvariant algebra
dc.subjectSmash product
dc.subject.ocdehttps://purl.org/pe-repo/ocde/ford#1.01.01
dc.title(Co)homology of crossed products by weak Hopf algebras
dc.typehttp://purl.org/coar/resource_type/c_6501
dc.type.otherArtículo
dc.type.versionhttps://vocabularies.coar-repositories.org/version_types/c_970fb48d4fbd8a85/

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