Lie Algebra Prederivations and strongly nilpotent Lie Algebras

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dc.creatorBurde, Dietrich
dc.date2004-09-16
dc.date.accessioned2026-07-07T05:12:11Z
dc.date.available2026-07-07T05:12:11Z
dc.descriptionWe study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation. The results can be applied to construct affine structures on Lie algebras.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0409276
dc.identifierhttp://arxiv.org/abs/math/0409276
dc.identifierComm. in Algebra 30(7), 3157-3175 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72494
dc.subjectRings and Algebras
dc.titleLie Algebra Prederivations and strongly nilpotent Lie Algebras
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