摘要
研究了一类特殊的幂零n-Lie代数,其所有导子都是幂零的,称其为特征幂零n-Lie代数.本文主要是得到了一般的n-Lie代数是特征幂零n-Lie代数的一些充要条件.
We investigate the n-Lie algebras all whose derivations are nilpotent, which constitute a subclass of nilpotent n-Lie algebras called characteristically nilpotent. We obtain, as the main results of our article, several necessary and sufficient conditions for an n-Lie algebra being characteristically nilpotent.
出处
《数学进展》
CSCD
北大核心
2009年第3期280-288,共9页
Advances in Mathematics（China）
基金
The NSF of Hebei Province(No.A2005000088)
关键词
n—Lie代数
导子代数
特征幂零
n-Lie algebras
derivation algebra
characteristically nilpotent
