特征2李代数G_2的生成元

On the Generators of Lie Algebra G_2 of Characteristic 2

利用特征 2代数闭域上 G2 嵌入 Gartan型李代数 K ( 5)结果 ,给出特征 2李代数 G2 的齐次生成元集 ,从而证明特征 2李代数 G2

In this paper,we deal with the question determining set of generators of the classical Lie algebraG 2 over a field F of characteristic 2 and prove that it contain just two elements.This result is intersting and may be useful to understanding the structure of the Lie algebra G 2 of characteristic 2 better.