On Levi's Theorem for Leibniz algebras
Rings and Algebras
2011-09-07 v1
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.
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Cite
@article{arxiv.1109.1060,
title = {On Levi's Theorem for Leibniz algebras},
author = {Donald W. Barnes},
journal= {arXiv preprint arXiv:1109.1060},
year = {2011}
}
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