Automorphisms and derivations of Leibniz
algebras

Ladra M.; Rikhsiboev I. M.; Turdibaev R. M.

Volume 71, № 11, 2019
(Current Issue)

2019

Том 71
№ 11

All Issues

Ukr. Mat. Zh.
Volume 68, № 7, 2016
pp. 933-944

Automorphisms and derivations of Leibniz algebras

Ladra M., Rikhsiboev I. M., Turdibaev R. M.

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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.

Citation Example: Ladra M., Rikhsiboev I. M., Turdibaev R. M. Automorphisms and derivations of Leibniz algebras // Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 933-944.

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