Nilpotent Lie and Leibniz algebras

Alexander Combs; Allison Hedges; Chelsie Batten Ray; J.T. Hird; Laurie Zack; Nicole Gin

arxiv: 1207.3739 · v1 · pith:UKJXVVDJnew · submitted 2012-07-16 · 🧮 math.RA

Nilpotent Lie and Leibniz algebras

Chelsie Batten Ray , Alexander Combs , Nicole Gin , Allison Hedges , J.T. Hird , Laurie Zack This is my paper

classification 🧮 math.RA

keywords algebrasleibniznilpotentcounterexamplesdimensionalexamplesextendfinite

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We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.

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Nilpotent Lie and Leibniz algebras

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