Local Superderivations on Basic Classical Lie Superalgebras

• 来源期刊: 代数集刊（英文版）
• 关键词: basic classical Lie superalgebra local superderivation superderivation
• 年，卷（期）: 2017,（4）
• 页码范围: 673-684
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S100538671700044X

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.