Simple Lie algebras of small characteristic VI. Completion of the classification

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dc.creatorPremet, Alexander
dc.creatorStrade, Helmut
dc.date2007-11-19
dc.date2008-08-11
dc.date.accessioned2026-07-07T09:55:34Z
dc.date.available2026-07-07T09:55:34Z
dc.descriptionLet L be a finite-dimensional simple Lie algebra over an algebraically closed field of F characteristic p>3. We prove that if the p-envelope of L in the derivation algebra of L contains nonstandard tori of maximal dimension, then p=5 and L is isomorphic to one of the Melikian algebras. Together with our earlier results this implies that any finite-dimensional simple Lie algebra over F is of classical, Cartan or Melikian type.
dc.descriptionMany typos corrected and introduction extended; the new version is accepted for publication
dc.identifierhttps://arxiv.org/abs/0711.2899
dc.identifierhttp://arxiv.org/abs/0711.2899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166675
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject17B20; 17B50
dc.titleSimple Lie algebras of small characteristic VI. Completion of the classification
dc.typetext

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