Leibniz superalgebras with a set grading
Rings and Algebras
2020-07-15 v1
Abstract
Consider a Leibniz superalgebra additionally graded by an arbitrary set (set grading). We show that decomposes as the sum of well-described graded ideals plus (maybe) a suitable linear subspace. In the case of being of maximal length, the simplicity of is also characterized in terms of connections.
Cite
@article{arxiv.2003.12607,
title = {Leibniz superalgebras with a set grading},
author = {Helena Albuquerque and Elisabete Barreiro and Antonio J. Calderón and José M. Sánchez},
journal= {arXiv preprint arXiv:2003.12607},
year = {2020}
}