Generating index of finite-dimensional Lie algebras

被引：0
|
作者：
Fang Fang
Fuhai Zhu
机构：
[1] Nankai University,School of Mathematical Sciences and LPMC
来源：
Frontiers of Mathematics in China | 2011年 / 6卷
关键词：
Generating index; eigenvalue number; nil-index; 17B20; 17B30; 17B81;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The notion of generating index of Lie algebras is introduced. We characterize some Lie algebras with full generating index and classify the Lie algebras with generating index 2 and 3. As a corollary, we give a characterization of 2-step nilpotent Lie algebras.
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页码：659 / 670
页数：11
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