Revista de la
Unión Matemática Argentina
Local superderivations on Cartan type Lie superalgebras
Jixia Yuan, Liangyun Chen, and Yan Cao
Volume 62, no. 2 (2021), pp. 433–442    

https://doi.org/10.33044/revuma.1965

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Abstract

We characterize the local superderivations on Cartan type Lie superalgebras over the complex field $\mathbb{C}$. Furthermore, we prove that every local superderivation on Cartan type Lie superalgebras is a superderivation. As an application, using the results on local superderivations we characterize the linear $2$-local superderivations on Cartan type Lie superalgebras. We prove that every linear $2$-local superderivation on Cartan type Lie superalgebras is a superderivation.