Classification of finite dimensional simple Lie algebras in prime characteristics

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We 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.
Revised version: a list of open problems has been added as suggested by the referee

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Rings and Algebras, Quantum Algebra, 17B20, 17B50

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http://salesiana.dossiersoluciones.com/handle/123456789/107569

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601380
 http://arxiv.org/abs/math/0601380

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arXiv