English

Minimal nonnilpotent Leibniz algebras

Rings and Algebras 2017-09-06 v1

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.

Keywords

Cite

@article{arxiv.1709.01391,
  title  = {Minimal nonnilpotent Leibniz algebras},
  author = {Lindsey Bosko-Dunbar and Jonathan Dunbar and J. T. Hird and Kristen Stagg Rovira},
  journal= {arXiv preprint arXiv:1709.01391},
  year   = {2017}
}

Comments

7 pages

R2 v1 2026-06-22T21:33:33.942Z