Detecting capable pairs of some nilpotent Lie superalgebras
Rings and Algebras
2022-07-26 v1
Abstract
In this article, we define the capable pairs of Lie superalgebras. We classify all capable pairs of abelian and Heisenberg Lie superalgebras. After that we discuss on pairs of Lie superalgebras with derived subalgebra of dimension one and a non-abelian ideal. Finally, we determine the structure of the Schur multiplier of pairs of Heisenberg Lie superalgebras.
Cite
@article{arxiv.2207.11445,
title = {Detecting capable pairs of some nilpotent Lie superalgebras},
author = {Ibrahem Yakzan Hasan and Rudra Narayan Padhan and Manjula Das},
journal= {arXiv preprint arXiv:2207.11445},
year = {2022}
}