English

Subinvariance in Leibniz Algebras

Rings and Algebras 2020-06-26 v1

Abstract

Leibniz algebras are certain generalizations of Lie algebras. Motivated by the concept of subinvariance in group theory, Schenkman studied properties of subinvariant subalgebras of a Lie algebra. In this paper we define subinvariant subalgebras of Leibniz algebras and study their properties. It is shown that the signature results on subinvariance in Lie algebras have analogs for Leibniz algebras.

Keywords

Cite

@article{arxiv.2006.14014,
  title  = {Subinvariance in Leibniz Algebras},
  author = {Kailash C. Misra and Ernie Stitzinger and Xingjian Yu},
  journal= {arXiv preprint arXiv:2006.14014},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T16:36:17.409Z