摘要
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.
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.
基金
Supported by the National Natural Science Foundation of China (Grant No. 11471090).