Local Superderivations on Basic Classical Lie Superalgebras
Haixian ChenSchool of Mathematical Sciences, Dalian University of Technology Dalian, Liaoning 116024, ChinaYing WangSchool of Mathematical Sciences, Dalian University of Technology Dalian, Liaoning 116024, ChinaJizhu NanSchool of Mathematical Sciences, Dalian University of Technology Dalian, Liaoning 116024, China
2017en
ABI
Abstract
In this paper, we prove that every local superderivation on basic classical Lie superalgebras except for A(1, 1) over the complex number field ℂ is a superderivation. Furthermore, we give an example of a class of nilpotent Lie superalgebras with local superderivations which are not superderivations.
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