The first cohomology of N=1 super Virasoro algebras

被引：3
作者：
Gao, Shoulan [1 ]
Meng, Qingle [2 ]
Pei, Yufeng [2 ]
机构：
[1] Huzhou Univ, Dept Math, Huzhou, Zhejiang, Peoples R China
[2] Shanghai Normal Univ, Dept Math, Guilin Rd 100, Shanghai 200234, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 10期
基金：
上海市自然科学基金;
关键词：
Central extensions; super Virasoro algebras; the first cohomology groups; HARISH-CHANDRA MODULES; NEVEU-SCHWARZ; EXTENSIONS; MODEL;
D O I：
10.1080/00927872.2019.1584810
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we determine the first cohomology groups of centerless N = 1 super Virasoro algebras with coefficients in their tensor density modules. As applications, we classify all central extensions and derivations of the complete spectrum-generating superalgebra.
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页码：4230 / 4246
页数：17
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