Non-weight modules over N=1 Lie superalgebras of Block type

被引：5
|
作者：
Xie, Qiang [1 ]
Sun, Jiancai [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
FORUM MATHEMATICUM | 2023年 / 35卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Non-weight module; Ramond algebras of Block type; Neveu-Schwarz algebras of Block type; REPRESENTATIONS; CLASSIFICATION; ALGEBRAS;
D O I：
10.1515/forum-2022-0267
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank 1 when restricted to the universal enveloping algebra of the Cartan subalgebra, while such modules are free of rank 2 over the Neveu-Schwarz algebras of Block type. We present the classification of these modules. Furthermore, the simplicity of these modules is determined.
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页码：1279 / 1300
页数：22
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