Local superderivations on Cartan type Lie superalgebras
Abstract
In this paper, we characterize the local superderivations on Cartan type Lie superalgebras over the complex field 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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