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Local superderivations on Cartan type Lie superalgebras | Jixia Yuan
; Liangyun Chen
; Yan Cao
; | Date: |
2 Mar 2019 | 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. | Source: | arXiv, 1903.3566 | Services: | Forum | Review | PDF | Favorites |
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