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.

引用

页码：659 / 670

页数：11

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