摘要
定义了一类特殊的幂零李三系,其所有导子都是幂零的,即特征幂零李三系,讨论了特征幂零李三系结构方面的一些性质,并得到了李三系是特征幂零的充要条件.
A new kind of Lie triple systems is defined, whose derivations are nilipotent, called characteristically nilpotent Lie triple systems. Some properties of this kind of Lie triple systems are discussed, and the necessary and sufficient condition for a characteristically nilpotent Lie triple system is obtained.
出处
《河北大学学报(自然科学版)》
CAS
北大核心
2008年第4期349-351,共3页
Journal of Hebei University(Natural Science Edition)
基金
河北省自然科学基金资助项目(A2005000088)
河北金融学院青年项目基金资助项目(X200737)
关键词
李三系
导子代数
特征幂零
Lie triple systems
derivation algebra
characteristically nilpotent