Classification of finite dimensional simple Lie algebras in prime characteristics
Rings and Algebras
2007-05-23 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0601380,
title = {Classification of finite dimensional simple Lie algebras in prime characteristics},
author = {Alexander Premet and Helmut Strade},
journal= {arXiv preprint arXiv:math/0601380},
year = {2007}
}
Comments
Revised version: a list of open problems has been added as suggested by the referee