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  5. Extracta Mathematicae Vol. 37, nº 2 (2022)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/16372
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dc.contributor.authorPouye, M.-
dc.contributor.authorKpamegan, B.-
dc.date.accessioned2022-12-12T09:46:37Z-
dc.date.available2022-12-12T09:46:37Z-
dc.date.issued2022-
dc.identifier.issn0213-8743-
dc.identifier.urihttp://hdl.handle.net/10662/16372-
dc.description.abstractExtensions and crossed modules of Lie type superalgebras are introduced and studied. We construct homology and cohomology theories of Lie-type superalgebras. The notion of left super-invariance for a bilinear form is de ned and we consider Lie type superalgebras endowed with nondegenerate, supersymmetric and left super-invariant bilinear form. Such Lie type superalgebras are called pseudo quadratic Lie type superalgebras. We show that any pseudo quadratic Lie type superalgebra induces a Jacobi-Jordan superalgebra. By using the method of double extension, we study pseudo quadratic Lie type superalgebras and theirs associated Jacobi-Jordan superalgebras.es_ES
dc.format.extent32 p.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenges_ES
dc.publisherUniversidad de Extremadura, Servicio de Publicacioneses_ES
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectSuperálgebras de tipo Liees_ES
dc.subjectSuperálgebras de Jacobi-Jordanes_ES
dc.subjectExtensiónes_ES
dc.subjectMódulo cruzadoes_ES
dc.subjectHomologíaes_ES
dc.subjectCohomologíaes_ES
dc.subjectDoble extensiónes_ES
dc.subjectSuperálgebras pseudocuadráticas de tipo Liees_ES
dc.subjectLie type superalgebrases_ES
dc.subjectJacobi-Jordan superalgebrases_ES
dc.subjectExtensiones_ES
dc.subjectCrossed modulees_ES
dc.subjectHomologyes_ES
dc.subjectCohomologyes_ES
dc.subjectDouble extensiones_ES
dc.subjectPseudo quadratic Lie type superalgebrases_ES
dc.titleExtensions, crossed modules and pseudo quadratic Lie type superalgebrases_ES
dc.typearticlees_ES
dc.description.versionpeerReviewedes_ES
europeana.typeTEXTen_US
dc.rights.accessRightsopenAccesses_ES
dc.subject.unesco1201.09 Álgebra de Liees_ES
dc.subject.unesco1210.02 Cohomologíaes_ES
dc.subject.unesco1201.12 Álgebras no Asociativases_ES
europeana.dataProviderUniversidad de Extremadura. Españaes_ES
dc.identifier.bibliographicCitationPouye, M., & Kpamegan, B. (2022). Extensions, crossed modules and pseudo quadratic Lie type superalgebras. Extracta Mathematicae, 37(2), 153-184. E-ISSN 2605-5686es_ES
dc.type.versionpublishedVersiones_ES
dc.contributor.affiliationUniversité d’Abomey-Calav. Benines_ES
dc.relation.publisherversionhttps://doi.org/10.17398/2605-5686.37.2.153es_ES
dc.identifier.doi10.17398/2605-5686.37.2.153-
dc.identifier.publicationtitleExtracta Mathematicaees_ES
dc.identifier.publicationissue2es_ES
dc.identifier.publicationfirstpage153es_ES
dc.identifier.publicationlastpage184es_ES
dc.identifier.publicationvolume37es_ES
dc.identifier.e-issn2605-5686-
Appears in Collections:Extracta Mathematicae Vol. 37, nº 2 (2022)

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