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arXiv · 1903.03566

Local superderivations on Cartan type Lie superalgebras

Jixia Yuan·Liangyun Chen·Yan Cao
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Abstract

In this paper, we characterize the local superderivations on Cartan type Lie superalgebras over the complex field $\mathbb{C}$. 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 $2$-local superderivations on Cartan type Lie superalgebras. We prove that every $2$-local superderivations on Cartan type Lie superalgebras is a superderivations.

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Jixia Yuan, Liangyun Chen, Yan Cao. 2019-03-02. Local superderivations on Cartan type Lie superalgebras. https://arxiv.org/abs/1903.03566

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