Super-biderivations and linear super-commuting maps on the N=2 superconformal algebra

被引：4

作者：

Cheng, Xiao ^{[1
]}

Sun, Jiancai ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 04期

关键词：

Lie super-algebra; super-biderivation; super-skewsymmetric; linear super-commuting map;

D O I：

10.15672/HJMS.2018.556

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra g. As an application of super-biderivations, we give the explicit form of each linear super-commuting map on the N=2 superconformal algebra g. We prove that every super-biderivation of the N=2 superconformal algebra g is inner, but the corresponding super-commuting maps are non-standard.

引用

页码：985 / 995

页数：11

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