摘要
主要研究特征为2的代数闭域上(n+1)维n-李代数的结构,给出了(n+1)维n-李代数的分类,描述了其可解性与幂零性,刻画了(n+1)维n-李代数的导子代数与内导子代数的结构.
The structures of(n+1)-dimensional n-Lie algebras over an algebraically closed field of characteristic 2 are studied.The classification of(n+1)-dimensional n-Lie algebras is provided and the solvability and nilpotency are described.The concrete expressions of derivations and derivation algebras of(n+1)-dimensional n-Lie algebras are also given.
出处
《数学年刊(A辑)》
CSCD
北大核心
2010年第3期265-274,共10页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10871192)资助的项目
关键词
N-李代数
导子代数
分类
n-Lie algebra
Derivation algebra
Classification