Classification of finite dimensional simple Lie algebras in prime characteristics
Classification of finite dimensional simple Lie algebras in prime characteristics
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DOI：
10.1090/conm/413/07847
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发表时间：
2006-01
期刊：
影响因子：
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通讯作者：
A. Premet;H. Strade
中科院分区：
文献类型：
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作者：
A. Premet;H. Strade
本文对特征p>0的代数闭域上的有限维李代数理论作了全面的综述，并宣布当p>3时，有限维单李代数的分类是完备的.任何这样的李代数都可以同构于经典（即来自特征0）或Cartan型的滤子李代数或特征5的Melikian代数。
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.