English

On derivations of semisimple Leibniz algebras

Rings and Algebras 2014-12-16 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1412.4367,
  title  = {On derivations of semisimple Leibniz algebras},
  author = {I. S. Rakhimov and K. K. Masutova and B. A. Omirov},
  journal= {arXiv preprint arXiv:1412.4367},
  year   = {2014}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:math/0011224 by other authors