On Levi's Theorem for Leibniz algebras

Authors

  • Donald William Barnes

Keywords:

Leibniz algebras, Levi's Theorem

Abstract

A Lie algebra over a field of characteristic 0 splits over its soluble radical and all complements are conjugate. I show that the splitting theorem extends to Leibniz algebras but that the conjugacy theorem does not. DOI:10.1017/S0004972711002954

Published

2012-08-27

Issue

Section

Articles