Finite-dimensional solvable Lie algebras generated by normal operators are commutative

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:337

Article

Cao, Peng^1,2  Sun, Shanli^1,2 

[1] Beihang Univ, LMIB, Beijing 100083, Peoples R China

[2] Beihang Univ, Dept Math, Beijing 100083, Peoples R China

关键词: normal operators;    solvable Lie algebra;    E-solvable Lie algebra;   

DOI  :  10.1016/j.jmaa.2007.04.017

来源: Elsevier

【 摘 要 】

It is proved that any finite-dimensional solvable Lie algebra generated by normal operators is commutative, and some other related results are given. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free