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Completeness of quasi-filiform Lie algebras

dc.contributor.authorGarcía Vergnolle, Lucía
dc.contributor.authorAncochea Bermúdez, José María
dc.contributor.authorAlmaraz Luengo, Elena Salome
dc.date.accessioned2023-06-19T13:21:25Z
dc.date.available2023-06-19T13:21:25Z
dc.date.issued2013-05
dc.description.abstractIt is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete. Further, for any positive integer m, it is shown that there exist solvable complete Lie algebras with the second ChevalleyEilenberg cohomology group of arbitrary dimension.en
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20334
dc.identifier.citationAlmaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergonolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.
dc.identifier.citationAlmaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergnolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.
dc.identifier.doi10.1080/03081087.2012.696250
dc.identifier.issn0308-1087
dc.identifier.officialurlhttps//doi.org/10.1080/03081087.2012.696250
dc.identifier.relatedurlhttp://www.tandfonline.com/doi/abs/10.1080/03081087.2012.696250
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33270
dc.issue.number5
dc.journal.titleLinear & Multilinear Algebra
dc.page.final595
dc.page.initial582
dc.publisherTaylor & Francis
dc.rights.accessRightsmetadata only access
dc.subject.cdu512
dc.subject.keywordComplete Lie algebra
dc.subject.keywordQuasi-filiform
dc.subject.keywordCohomology
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleCompleteness of quasi-filiform Lie algebrasen
dc.typejournal article
dc.volume.number61
dspace.entity.typePublication
relation.isAuthorOfPublication8afd7745-e428-4a77-b1ff-813045b673fd
relation.isAuthorOfPublication1c9068b2-8cdc-4211-ae24-f355b63f2ec4
relation.isAuthorOfPublication.latestForDiscovery8afd7745-e428-4a77-b1ff-813045b673fd

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