Classification of finite dimensional simple Lie algebras in prime characteristics

Details Classification of finite dimensional simple Lie algebras in prime characteristics Classification of finite dimensional simple Lie algebras in prime characteristics

2006-01-16

arxiv.org/abs/math/0601380v2

Mathematics

Rings and Algebras

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

Scientific paper

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.

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