Local Superderivations on Basic Classical Lie Superalgebras

被引：6
|
作者：
Chen, Haixian [1 ]
Wang, Ying [1 ]
Nan, Jizhu [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2017年 / 24卷 / 04期
基金：
中国国家自然科学基金;
关键词：
basic classical Lie superalgebra; local superderivation; superderivation; OPERATOR-ALGEBRAS; DERIVATIONS; AUTOMORPHISMS;
D O I：
10.1142/S100538671700044X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：673 / 684
页数：12
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