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

Peng Cao; Shanli Sun

doi:10.1016/j.jmaa.2007.04.017

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

Peng Cao^*, Shanli Sun

^*此作品的通讯作者

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

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.

源语言	英语
页（从-至）	928-931
页数	4
期刊	Journal of Mathematical Analysis and Applications
卷	337
期	2
DOI	https://doi.org/10.1016/j.jmaa.2007.04.017
出版状态	已出版 - 15 1月 2008
已对外发布	是

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10.1016/j.jmaa.2007.04.017

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Cao, P., & Sun, S. (2008). Finite-dimensional solvable Lie algebras generated by normal operators are commutative. Journal of Mathematical Analysis and Applications, 337(2), 928-931. https://doi.org/10.1016/j.jmaa.2007.04.017

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title = "Finite-dimensional solvable Lie algebras generated by normal operators are commutative",

abstract = "It is proved that any finite-dimensional solvable Lie algebra generated by normal operators is commutative, and some other related results are given.",

keywords = "E-solvable Lie algebra, Normal operator, Solvable Lie algebra",

author = "Peng Cao and Shanli Sun",

year = "2008",

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AU - Sun, Shanli

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AB - It is proved that any finite-dimensional solvable Lie algebra generated by normal operators is commutative, and some other related results are given.

KW - E-solvable Lie algebra

KW - Normal operator

KW - Solvable Lie algebra

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U2 - 10.1016/j.jmaa.2007.04.017

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JO - Journal of Mathematical Analysis and Applications

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

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