摘要
本文在李代数的泛包络代数的基础上,定义了李三系的泛包络三系,研究了李三系的泛包络三系的性质,并给出其存在性定理,进而把在模李代数中非常重要的P-B-W定理推广到了特征0李三系上.
In this paper, we defined universal enveloping triple systems of Lie triple systems, discussed the properties of universal enveloping triple systems of Lie triple systems,and gave out its existence theorem. Furthermore, we generalized the P - B - W theorem of modular Lie algebra to Lie triple systems.
关键词
李三系
泛包络代数
泛包络三系
Lie triple systems
universal enveloping algebra
universal enveloping triple systems
