Minimal nonnilpotent Leibniz algebras

2017/09/05 by Bosko-Dunbar, Lindsey, Dunbar, Jonathan, Hird, J. T. +1
#17D99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1709.01391

Abstract

We classify all nonnilpotent, solvable Leibniz algebras with the property that all proper subalgebras are nilpotent. This generalizes the work of Stitzinger and Towers in Lie algebras. We show several examples which illustrate the differences between the Lie and Leibniz results.

Related

• Nilpotent Lie and Leibniz algebras
• On Nilpotent Leibniz Superalgebras
• A characterization of nilpotent Leibniz algebras
• Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length
• Solvable Leibniz Algebras with Abelian Nilradicals