关于n-Lie代数的一些结果(英文)  

Some Results on the n-Lie Algebras

作　　者：白瑞蒲[1] 姚玉平[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2002年第2期105-108,113,共5页Journal of Hebei University(Natural Science Edition)

基　　金：TheprojectissupportedbyNaturalScienceFoundationofHebeiProvince (2 990 78)

摘　　要：研究了n + 1维n -Lie代数的一些性质 ,证明了当dim[A ,… ,A]>1时 ,A的Cartan子代数的维数是n - 1,且证明了n + 2维n -Lie代数A是单的当且仅当A不含 1维理想且A =[A ,… 。The authors studied some properties on n+1 dimensional n -Lie algebras,and we proved that when dimension of dim A 1>1 ,the dimension of Cartan subalgebra of A is n-1 .And also proved that n+k dimensional n -Lie algebra is simple if and only if it has not ideals that the dimension are not more than k and A= ,and other results about Cartan subalgebras of n- Lie algebras.

关 键 词：N-LIE代数 CARTAN子代数 半单n-Lie代数 

分 类 号：O152.5[理学—数学]