| 关于n-Lie代数的一些结果(英文) |
| |
| 引用本文： | 白瑞蒲,姚玉平. 关于n-Lie代数的一些结果(英文)[J]. 河北大学学报(自然科学版), 2002, 22(2): 105-108 |
| |
| 作者姓名： | 白瑞蒲 姚玉平 |
| |
| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
| |
| 基金项目： | 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 ,… ,A]及关于Cartan子代数的一些结果
|
| 关 键 词： | n-Lie代数 Cartan子代数 半单n-Lie代数 |
Some Results on the n - Lie Algebras |
| |
| BAI Rui pu,YAO Yu ping. Some Results on the n - Lie Algebras[J]. Journal of Hebei University (Natural Science Edition), 2002, 22(2): 105-108 |
| |
| Authors: | BAI Rui pu YAO Yu ping |
| |
| Abstract: | 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. |
| |
| Keywords: | n -Lie algebra Cartan subalgebra semi-simple n -Lie algebras. |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
