Preprint

On derivations of semisimple Leibniz algebras

I. S. RakhimovUniversiti Putra MalaysiaK. K. MasutovaNational University of Uzbekistan,B. A. OmirovNational University of Uzbekistan,

arXiv (Cornell University)repository2014en

ABI

Abstract

In the paper we describe derivations of some classes of Leibniz algebras. It is shown that any derivation of a simple Leibniz algebra can be written as a combination of three derivations. Two of these ingredients are a Lie algebra derivations and the third one can be explicitly described. Then we show that the similar description can found as well as for a subclass of semisimple Leibniz algebras.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Nonlinear Waves and Solitons

Identifiers

DOI: 10.48550/arxiv.1412.4367

Citations and references

Cited by 08 references

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