Publication:
Sur la réductibilité de la variété des algèbres de Lie nilpotentes complexes

dc.contributor.authorHakimjanov, Yu. B.
dc.contributor.authorAncochea Bermúdez, José María
dc.contributor.authorGoze, Michel
dc.date.accessioned2023-06-20T18:43:29Z
dc.date.available2023-06-20T18:43:29Z
dc.date.issued1991
dc.description.abstractLet Nn be the variety of nilpotent Lie algebra laws of a given complex vector space Cn. M. Vergne showed ["Variété des algèbres de Lie nilpotentes'', Thèse de 3ème cycle, Spéc. Math., Paris, 1966; BullSig(110) 1967:299; Bull. Soc. Math. France 98 (1970), 81–116; that Nn is irreducible for n≤6 and has at least two components for n=7 and n≥11. In this note, the authors prove the reducibility of Nn for n=8,9,10, thus answering affirmatively a question of Vergne. The last part of this work improves results of Vergne concerning some components of Nn, for n≥11.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21123
dc.identifier.issn0764-4442
dc.identifier.officialurlhttp://gallica.bnf.fr/ark:/12148/bpt6k57325582/f63.image
dc.identifier.relatedurlhttp://gallica.bnf.fr/?lang=ES
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58437
dc.issue.number2
dc.journal.titleComptes Rendus de l'Académie des Sciences. Série I. Mathématique
dc.language.isofra
dc.page.final62
dc.page.initial59
dc.publisherElsevier
dc.rights.accessRightsopen access
dc.subject.cdu512.554.3
dc.subject.keywordreducibility
dc.subject.keywordvariety of complex nilpotent Lie algebras
dc.subject.keywordperturbation
dc.subject.keywordfiliform Lie algebra
dc.subject.keywordirreducible components
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleSur la réductibilité de la variété des algèbres de Lie nilpotentes complexes
dc.typejournal article
dc.volume.number313
dspace.entity.typePublication
relation.isAuthorOfPublication8afd7745-e428-4a77-b1ff-813045b673fd
relation.isAuthorOfPublication.latestForDiscovery8afd7745-e428-4a77-b1ff-813045b673fd
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