Linear Super-Commuting Maps and Super-Biderivations on the Super-Virasoro Algebras

被引：52

作者：

Xia, Chunguang ^{[1
]}

Wang, Dengyin ^{[1
]}

Han, Xiu ^{[2
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 12期

关键词：

Super-biderivations; Super-commuting maps; Super-Virasoro algebras;

D O I：

10.1080/00927872.2016.1172617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let SVir be the well-known super-Virasoro algebras. In this paper, we first prove that any super-skewsymmetric super-biderivation of SVir is inner. Based on this, we show that every linear super-commuting map on SVir is of the form (x)=f(x)c, where f is a linear function from SVir to C mapping the odd part of SVir to zero, and c is the central charge of SVir.

引用

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页码：5342 / 5350

页数：9

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