English

Local superderivations on Cartan type Lie superalgebras

Rings and Algebras 2019-03-11 v1

Abstract

In this paper, we characterize the local superderivations on Cartan type Lie superalgebras over the complex field C\mathbb{C}. Furthermore, we prove that every local superderivations on Cartan type simple Lie superalgebras is a superderivations. As an application, using the results on local superderivations we characterize the 22-local superderivations on Cartan type Lie superalgebras. We prove that every 22-local superderivations on Cartan type Lie superalgebras is a superderivations.

Keywords

Cite

@article{arxiv.1903.03566,
  title  = {Local superderivations on Cartan type Lie superalgebras},
  author = {Jixia Yuan and Liangyun Chen and Yan Cao},
  journal= {arXiv preprint arXiv:1903.03566},
  year   = {2019}
}