Classification of finite dimensional simple Lie algebras in prime characteristics

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dc.creatorPremet, Alexander
dc.creatorStrade, Helmut
dc.date2006-01-16
dc.date2006-03-07
dc.date.accessioned2026-07-07T06:58:57Z
dc.date.available2026-07-07T06:58:57Z
dc.descriptionWe give a comprehensive survey of the theory of finite dimensional Lie algebras over an algebraically closed field of characteristic p>0 and announce that for p>3 the classification of finite dimensional simple Lie algebras is complete. Any such Lie algebra is up to isomorphism either classical (i.e. comes from characteristic 0) or a filtered Lie algebra of Cartan type or a Melikian algebra of characteristic 5.
dc.descriptionRevised version: a list of open problems has been added as suggested by the referee
dc.identifierhttps://arxiv.org/abs/math/0601380
dc.identifierhttp://arxiv.org/abs/math/0601380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107569
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject17B20, 17B50
dc.titleClassification of finite dimensional simple Lie algebras in prime characteristics
dc.typetext

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