Jordan-Chevalley分解的推广及应用

The Generalization of The Jordan-chevalley Decomposition and it's Applications

本文在任意的代数闭域上证明了Jordan-Chevalley分解,应用这种分解给出了李代数中的两种Jordan分解并且在半单纯李代数时说明了两种分解的一致性。

In this paper,the Jordan-Chevalley decomposition on an arbitrary algebraically closed field is proven and by this decomposition,we get two Jordan decompositions in Lie algebra,furthermore,we shows two decomposition consistency on the semi-simple Lie algebra.