Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N=1 Schrodinger-Neveu-Schwarz Algebra

被引：1

作者：

Fa, Huanxia ^{[1
,2
]}

Han, Jianzhi ^{[3
]}

Li, Junbo ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China

[2] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China

[3] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2017年 / 24卷 / 04期

关键词：

twisted N=1 Schrodinger-Neveu-Schwarz algebra; weight module; irreducible module; VIRASORO ALGEBRA; CLASSIFICATION; INVARIANCE;

D O I：

10.1142/S1005386717000463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that there are no simple mixed modules over the twisted N = 1 Schrodinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a non-trivial finite-dimensional weight space is a Harish-Chandra module.

引用

页码：697 / 704

页数：8

共 40 条

[1] CLASSIFICATION OF SIMPLE WEIGHT MODULES FOR THE NEVEU-SCHWARZ ALGEBRA WITH A FINITE-DIMENSIONAL WEIGHT SPACE
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