实半单Lie代数的Cartan分解的存在性

On the Existence of Cartan Decomposation of Real Semisimple Lie Algebra

文章中的第一部分证明复Lie代数有关的几个引理,第二部分证明一个定理,然后给出实半单Lie代数的Cartan分解的定义,最后证明实半单Lie代数的Cartan分解的存在性。

In the paper, several Lemmas related to complex Lie algebra are proved in the first section, and a theorem is proved in the second section. Then the author gives the definition of Cartan decomposition of real semisimple Lie algebra, and finally prove the existence of Caftan decomposation of real semisimple Lie algebra.