Automorphisms and derivations of Leibniz
algebras

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

Volume 69, № 7, 2017
(Current Issue)

2017

Том 69
№ 7

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.

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.