,Local Superderivations on Basic Classical Lie Superalgebras

• 作 者: Haixian Chen Ying Wang Jizhu Nan
• 机 构: School of Mathematical Sciences, Dalian University of Technology Dalian, Liaoning 116024, China
• 出 处: 代数集刊（英文版）
• 发表日期: 2017年4期
• 关键词: basic classical Lie superalgebra local superderivation superderivation

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.