Resumen de Local superderivations on Cartan type Lie superalgebras

Jixia Yuan, Liangyun Chen, Yan Cao

• We characterize the local superderivations on Cartan type Lie superalgebras over the complex field 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.