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Automorphisms and Derivations of Leibniz Algebras.

Authors :
Ladra, M.
Rikhsiboev, I.
Turdibaev, R.
Source :
Ukrainian Mathematical Journal. Dec2016, Vol. 68 Issue 7, p1062-1076. 15p.
Publication Year :
2016

Abstract

We extend some general properties of automorphisms and derivations known for the Lie algebras to finite-dimensional complex Leibniz algebras. The analogs of the Jordan-Chevalley decomposition for derivations and the multiplicative decomposition for automorphisms of finite-dimensional complex Leibniz algebras are obtained. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ALGEBRA
*AUTOMORPHISMS
*DERIVATIVES (Mathematics)
*CHEVALLEY groups
*MATHEMATICAL decomposition

Details

Language :
English
ISSN :
00415995
Volume :
68
Issue :
7
Database :
Academic Search Index
Journal :
Ukrainian Mathematical Journal
Publication Type :
Academic Journal
Accession number :
120010166
Full Text :
https://doi.org/10.1007/s11253-016-1277-3
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