On split Leibniz superalgebras
Rings and Algebras
2024-01-24 v1
Abstract
We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras is of the form with a subspace of an abelian (graded) subalgebra and any a well described (graded) ideal of satisfying if . In the case of being of maximal length, the simplicity of is also characterized in terms of connections of roots.
Cite
@article{arxiv.2401.12886,
title = {On split Leibniz superalgebras},
author = {Antonio J. Calderón and José M. Sánchez},
journal= {arXiv preprint arXiv:2401.12886},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2003.12607