On Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)

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dc.creatorBekbaev, U. D.
dc.creatorRakhimov, I. S.
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:28Z
dc.date.available2026-07-07T07:37:28Z
dc.descriptionThe paper is devoted to classification problem of finite dimensional complex none Lie filiform Leibniz algebras. The motivation to write this paper is an unpublished yet result of J.R.Gomez, B.A.Omirov on necessary and sufficient conditions for two finite dimensional complex filiform Leibniz algebras to be isomorphic. We suggest another approach to this problem. The approach that we use for classification is in terms of invariants. In fact, utilizing this method for any given low dimensional case all filiform Leibniz algebras can be classified. Moreover, the results can be used for geometrical classification of orbits of such algebras. Key-Words: filiform Leibniz algebra, invariant, function, isomorphism.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0612805
dc.identifierhttp://arxiv.org/abs/math/0612805
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120785
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subject17A32, 17B30
dc.titleOn Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)
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