摘要
引入了完备n-李代数的概念,给出了完备n-李代数的例子,举例说明了半单的n-李代数不一定是完备n-李代数.通过n-李代数的导子性质的研究,得到了完备n-李代数的分解定理.
In this paper, complete n-Lie algebras were introduced and examples of complete n-Lie algebras were presented firstly, and then the examples illustrate that semi-simple n-Lie algebra is not necessarily complete n-Lie algebra. Finally, the decompositions of complete n-Lie were obtained using the properties of derivations of n-Lie algebras.
出处
《海南大学学报（自然科学版）》
CAS
2007年第1期24-26,共3页
Natural Science Journal of Hainan University
关键词
完备n-李代数
导子
分解
complete n-Lie algebras
derivations
decompositions
