On certain families of naturally graded Lie algebras

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dc.creatorAncochea, Jose Maria
dc.creatorCampoamor, Otto Rutwig
dc.date2000-10-23
dc.date.accessioned2026-07-07T04:38:11Z
dc.date.available2026-07-07T04:38:11Z
dc.descriptionIn this work large families of naturally graded nilpotent Lie algebras in arbitrary dimension and characteristic sequence (n,q,1), with n odd, satisfying the centralizer property, are given. This condtion constitutes a generalization, for a nilpotent Lie agebra, of the structural properties charactrizing the Lie algebra $Q_{n}$. By considering certain cohomological classes of the space $H^{2}(\frak{g},\mathbb{C})$, it is shown that, with few exceptions, the isomorphism classses of these algebras are given by central extensions of $Q_{n}$ by $\mathbb{C}^{p}$ which preserve the nilindex and the natural graduation.
dc.description30 pages, 2 tables
dc.identifierhttps://arxiv.org/abs/math/0010216
dc.identifierhttp://arxiv.org/abs/math/0010216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60182
dc.subjectRings and Algebras
dc.subject17B30, 17B56
dc.titleOn certain families of naturally graded Lie algebras
dc.typetext

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