摘要
本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性,讨论了李三系次理想的某些性质,证明了李三系为幂零的当且仅当每个子系都是次理想.
In the present paper, we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of derivations. Further more we discuss some properties of subideal for Lie triple systems,and prove that a Lie triple system is nilpotent if and only if every subsystem is subideal.
出处
《数学进展》
CSCD
北大核心
2008年第3期365-373,共9页
Advances in Mathematics(China)
关键词
李三系
李代数
可解
幂零
Lie triple system
Lie algebra
solvable
nilpotent