On the nilpotency of a pair of Lie algebras

被引：0
|
作者：
Gholamian, Ali [1 ]
Eghdami, Hossein [2 ]
机构：
[1] Farhangian Univ, Dept Math, Shahid Bahonar Campus, Birjand, Iran
[2] Univ Birjand, Dept Math, Birjand, Iran
来源：
MATEMATIKA | 2016年 / 32卷
关键词：
Pair of Lie algebras; nilpotent Lie algebras; central series;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the new concepts of nilpotency, upper and lower central series for a pair of Lie algebras (L, N), in which N is an ideal of Lie algebra L. We study the properties of these concepts and prove the analogue of Robinson Theorem for a pair of Lie algebras plays an important role to find the results connecting to the idea of nilpotency in the pair of Lie algebras. In particular we find a criterion such that an extension of pair of Lie algebras can be nilpotent.
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页码：1 / 5
页数：5
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