关于一类素特征的单李代数

On the Class of Simple Lie Algebras of Prime Characteristic

讨论ｐ＝３时李代数∑，与的生成元与导子代数，给出并证明了ｐ＞０时李代数∑、与具非退化结合型的充分与必要条件。

The generators and derivation algebras of the simple Lie algebras ∑￣* ,and of characteristic p=3 are discussed in this paper. The necessary and sufficient condition possessing a nondegerate associative form on those Lie algebras are determined when characteristic p>0.