2-Local Superderivations on Basic Classical Lie Superalgebras
Received:October 26, 2016  Revised:May 19, 2017
Key Word: basic classical Lie superalgebras   2-local superderivation   superderivation  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11471090).
Author NameAffiliation
Ying WANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Haixian CHEN School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Jizhu NAN School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      Let $\mathbb{F}$ be an algebraically closed field of characteristic zero, and $L$ be a basic classical Lie superalgebra except $A(n,n)$ over $\mathbb{F}$. In this paper, we prove that every 2-local superderivation on $L$ is a superderivation. Furthermore, we give an example to show that a subalgebra of $\mathrm{spl}(2,2)$ admits a 2-local superderivation which is not a superderivation.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.05.003
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