English

Second-Maximal Subalgebras of Leibniz Algebras

Rings and Algebras 2020-02-12 v2

Abstract

In this work we study Leibniz algebras whose second-maximal subalgebras are ideals. We provide a classification based on solvability, nilpotency, and the size of the derived algebra. We give specific descriptions of those Leibniz algebras whose derived algebra has codimension zero or one. This includes several algebras which are only possible over certain fields.

Keywords

Cite

@article{arxiv.1608.01255,
  title  = {Second-Maximal Subalgebras of Leibniz Algebras},
  author = {Lindsey Bosko-Dunbar and Jonathan Dunbar and J. T. Hird and Kristen Stagg},
  journal= {arXiv preprint arXiv:1608.01255},
  year   = {2020}
}

Comments

Multiple errors were found in the work