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

^*Corresponding author for this work

Beihang University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	928-931
Number of pages	4
Journal	Journal of Mathematical Analysis and Applications
Volume	337
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.04.017
Publication status	Published - 15 Jan 2008
Externally published	Yes

Keywords

E-solvable Lie algebra
Normal operator
Solvable Lie algebra

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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",

month = jan,

day = "15",

doi = "10.1016/j.jmaa.2007.04.017",

language = "English",

volume = "337",

pages = "928--931",

journal = "Journal of Mathematical Analysis and Applications",

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AU - Cao, Peng

AU - Sun, Shanli

PY - 2008/1/15

Y1 - 2008/1/15

N2 - It is proved that any finite-dimensional solvable Lie algebra generated by normal operators is commutative, and some other related results are given.

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

DO - 10.1016/j.jmaa.2007.04.017

M3 - Article

AN - SCOPUS:34548607278

SN - 0022-247X

VL - 337

SP - 928

EP - 931

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

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