Classification of (n-5)-filiform Lie algebras

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dc.creatorAncochea, Jose Maria
dc.creatorCampoamor, Otto Rutwig
dc.date2000-12-26
dc.date.accessioned2026-07-07T04:39:24Z
dc.date.available2026-07-07T04:39:24Z
dc.descriptionIn this paper we consider the problem of classifying the $(n-5)$-filiform Lie algebras. This is the first index for which infinite parametrized families appear, as can be seen in dimension $7.$ Moreover we obtain large families of characteristic nilpotent Lie algebras with nilpotence index 5 and show that at least for dimension 10 there is a characteristic nilpotent Lie algebra with nilpotence index 4 which is the algebra of derivations of a nilpotent Lie algebra.
dc.description30 pages, 9 tables. Tables 8 and 9 should be printed horizontally
dc.identifierhttps://arxiv.org/abs/math/0012246
dc.identifierhttp://arxiv.org/abs/math/0012246
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60649
dc.subjectRings and Algebras
dc.subject17B30
dc.titleClassification of (n-5)-filiform Lie algebras
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