English

Some characterizations of nilpotent $n$-Lie superalgebras

Rings and Algebras 2015-02-03 v1

Abstract

The paper studies nilpotent nn-Lie superalgebras. More specifically speaking, we first prove Engel's theorem for nn-Lie superalgebras. Second, we research some properties of nilpotent nn-Lie superalgebras, Finally, we give several sufficient conditions that an nn-Lie superalgebra is nilpotent.

Keywords

Cite

@article{arxiv.1304.7336,
  title  = {Some characterizations of nilpotent $n$-Lie superalgebras},
  author = {Baoling Guan and Liangyun Chen and Ma Yao},
  journal= {arXiv preprint arXiv:1304.7336},
  year   = {2015}
}