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 ni...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.展开更多
基金Supported by the National Natural Science Foundation of China （Grant No. 11471090）.
文摘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.
