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Rigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras

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dc.contributor.authorAncochea Bermúdez, José María
dc.contributor.authorCampoamor-Stursberg, Rutwig
dc.date.accessioned2023-06-17T21:56:20Z
dc.date.available2023-06-17T21:56:20Z
dc.date.issued2017
dc.description.abstractIt is shown that the two-known series of rank one (Formula presented.) and rank two (Formula presented.) finite-dimensional solvable rigid Lie algebras with non-vanishing second cohomology can be extended to solvable rigid Lie algebras of arbitrary rank (Formula presented.) such that the cohomology is preserved exactly. For the second series, it is further proved that an extension decreasing the cohomology exists, hence leading to cohomologically rigid Lie algebras.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/42837
dc.identifier.doi10.1080/03081087.2017.1302404
dc.identifier.issn1563-5139
dc.identifier.officialurlhttp://www.tandfonline.com/doi/full/10.1080/03081087.2017.1302404
dc.identifier.relatedurlhttp://www.tandfonline.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/17813
dc.journal.titleLinear and Multilinear Algebra
dc.language.isoeng
dc.page.final15
dc.page.initial1
dc.publisherTaylor & Francis
dc.relation.projectIDMTM2016-79422-P
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordChevalley cohomology
dc.subject.keywordLie algebra
dc.subject.keywordQuadratic Rim map
dc.subject.keywordRigidity
dc.subject.keywordSolvable extension
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleRigidity-preserving and cohomology-decreasing extensions of solvable rigid Lie algebras
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication8afd7745-e428-4a77-b1ff-813045b673fd
relation.isAuthorOfPublication.latestForDiscovery8afd7745-e428-4a77-b1ff-813045b673fd
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