2017
Том 69
№ 7

All Issues

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.