On Levi's Theorem for Leibniz algebras

2011/09/06 by Donald W. Barnes, Barnes, Donald W. · 2 citations
Mathematics · Materials Science · #Advanced Topics in Algebra #Synthesis and properties of polymers #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1109.1060

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.

Cited by

• A characterization of perfect Leibniz algebras
• Abelian extensions of five-dimensional solvable Leibniz algebras

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