摘要
根据李三系的Levi分解定理和Yamaguti关于二维李三系的分类结果,证明了复数域上的三维李三系可以写成一个半单李三子系和它中心的直和。在此基础上,对复数域上的三维李三系进行了分类,详细给出了每类李三系的乘法表。利用三维李三系的分类结果,计算了每种类型的李三系的导子代数的结构。
Based on the Levi theorem of Lie triple systems and the classification result of Yamaguti about two-dimensional Lie triple systems, it is concluded that a three-dimensional non-solvable Lie triple can be written as the direct plus of a two-dimensional simple subsystem and its center in a complex field. The three-dimensional Lie triple system is classified. The no-zero multiplication table of Lie triple system is presented. The derivation algebras are calculated. The matrix elements of derivation algebra are obtained.
出处
《华北电力大学学报（自然科学版）》
CAS
北大核心
2005年第4期110-112,共3页
Journal of North China Electric Power University：Natural Science Edition
关键词
李三系
导子代数
中心
可解的
乘法表
Lie triple system
derivation algebra
center
solvable
multiplication talbe
