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arxiv: 1709.01391 · v1 · pith:7C5SHFKInew · submitted 2017-09-05 · 🧮 math.RA

Minimal nonnilpotent Leibniz algebras

Lindsey Bosko-Dunbar , Jonathan Dunbar , J.T. Hird , Kristen Stagg Rovira This is my paper
classification 🧮 math.RA
keywords algebrasleibniznonnilpotentclassifydifferencesexamplesgeneralizesillustrate
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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.

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