• Corpus ID: 219956751

On $2$-Nilpotent Multiplier of Lie Superalgebras

@article{Padhan2020OnM,
  title={On \$2\$-Nilpotent Multiplier of Lie Superalgebras},
  author={Rudra Narayan Padhan and Nupur Nandi and Kishor Chandra Pati},
  journal={arXiv: Rings and Algebras},
  year={2020}
}
In this article we define the $c$-nilpotent multiplier of a finite dimensional Lie suepralgebra. We characterize the structure of $2$-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 $2$-nilpotent multiplier of any finite dimensional nilpotent Lie superalgebra. Moreover, we discuses the $2$-capability of special as well as odd Heisenberg Lie superalgebras and abelian Lie… 

On the dimension of non-abelian tensor square of Lie superalgebras

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