On the product by generators of characteristically nilpotent Lie S-algebras

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dc.creatorCampoamor, Rutwig
dc.creatorAncochea, Jose Maria
dc.date2001-02-02
dc.date2001-03-07
dc.date.accessioned2026-07-07T04:39:56Z
dc.date.available2026-07-07T04:39:56Z
dc.descriptionWe introduce the product by generators of complex nilpotent Lie algebras, which is a commutative product obtained from a central extension of the direct sum of Lie algebras. We show that the product preserves also the characteristic nilpotence provided that the multiplied algebras are $S$-algebras. In particular, this shows the existence of nonsplit characteristically nilpotent Lie algebras $\frak{h}$ such that the quotient $\frac{\dim \frak{h}-\dim Z(\frak{h})}{\dim Z(\frak{h})} $ is as small as wanted.
dc.description8 Latex pages Mistake in the proof of prop. 1 deleted
dc.identifierhttps://arxiv.org/abs/math/0102014
dc.identifierhttp://arxiv.org/abs/math/0102014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60877
dc.subjectRings and Algebras
dc.subject17B30
dc.titleOn the product by generators of characteristically nilpotent Lie S-algebras
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