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.
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页码：5342 / 5350
页数：9
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