2-Local automorphisms on finite-dimensional Lie algebras

Shavkat Ayupov; Karimbergen Kudaybergenov

doi:10.1016/j.laa.2016.05.042

2-Local automorphisms on finite-dimensional Lie algebras

Shavkat Ayupov
, Karimbergen Kudaybergenov^*

^*Corresponding author for this work

National University of Uzbekistan named after Mirzo Ulugbek
Karakalpak State University

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

39 Scopus citations

Abstract

We prove that every 2-local automorphism on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is an automorphism. We also show that each finite-dimensional nilpotent Lie algebra L with dimL≥2 admits a 2-local automorphism which is not an automorphism.

Original language	English
Pages (from-to)	121-131
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	507
DOIs	https://doi.org/10.1016/j.laa.2016.05.042
State	Published - 15 Oct 2016
Externally published	Yes

Keywords

17B20
17B40
MSC 17A36

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10.1016/j.laa.2016.05.042

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title = "2-Local automorphisms on finite-dimensional Lie algebras",

abstract = "We prove that every 2-local automorphism on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is an automorphism. We also show that each finite-dimensional nilpotent Lie algebra L with dimL≥2 admits a 2-local automorphism which is not an automorphism.",

keywords = "17B20, 17B40, MSC 17A36",

author = "Shavkat Ayupov and Karimbergen Kudaybergenov",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = oct,

day = "15",

doi = "10.1016/j.laa.2016.05.042",

language = "英语",

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pages = "121--131",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

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T1 - 2-Local automorphisms on finite-dimensional Lie algebras

AU - Ayupov, Shavkat

AU - Kudaybergenov, Karimbergen

PY - 2016/10/15

Y1 - 2016/10/15

N2 - We prove that every 2-local automorphism on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is an automorphism. We also show that each finite-dimensional nilpotent Lie algebra L with dimL≥2 admits a 2-local automorphism which is not an automorphism.

AB - We prove that every 2-local automorphism on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is an automorphism. We also show that each finite-dimensional nilpotent Lie algebra L with dimL≥2 admits a 2-local automorphism which is not an automorphism.

KW - 17B20

KW - 17B40

KW - MSC 17A36

UR - https://www.scopus.com/pages/publications/84973163861

U2 - 10.1016/j.laa.2016.05.042

DO - 10.1016/j.laa.2016.05.042

M3 - 文章

AN - SCOPUS:84973163861

SN - 0024-3795

VL - 507

SP - 121

EP - 131

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

2-Local automorphisms on finite-dimensional Lie algebras

Abstract

Keywords

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