On $2$-Nilpotent Multiplier of Lie Superalgebras
Rings and Algebras
2020-06-22 v1
Abstract
In this article we define the -nilpotent multiplier of a finite dimensional Lie suepralgebra. We characterize the structure of -nilpotent multiplier of finite dimensional nilpotent Lie superalgebras whose derived subalgebras have dimension at most one. Then we give an upper bound on the dimension of -nilpotent multiplier of any finite dimensional nilpotent Lie superalgebra. Moreover, we discuses the -capability of special as well as odd Heisenberg Lie superalgebras and abelian Lie superalgebras.
Keywords
Cite
@article{arxiv.2006.10970,
title = {On $2$-Nilpotent Multiplier of Lie Superalgebras},
author = {Rudra Narayan Padhan and Nupur Nandi and K. C. Pati},
journal= {arXiv preprint arXiv:2006.10970},
year = {2020}
}