限制李代数P-映射的重要性质及应用

The Important Properties of P-mapping of Restricted Lie Algebra and the Application

本文利用文献[1～3]中限制李代数的 P-映射的一些已有性质，获得了P-映射的一些其它重要性质，并且利用这些性质证明了文献[4]中的限制李代数的一个猜想在代数闭域条件下是成立的。

In this paper,based on the properties referred in other passages,many other important proper-ties of P-mapping of restricted Lie algebra are gained.It is also proved that if it is over a perfect fieldF,the conjecture in reference[4]is true.