U(h)-free modules over the super-Galilean conformal algebras

被引：2
|
作者：
Xie, Qiang [1 ]
Sun, Jiancai [1 ]
Yang, Hengyun [2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 06期
关键词：
D O I：
10.1063/5.0094552
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study non-weight modules over the super-Galilean conformal algebra. We construct and classify U(H)-free modules of rank 1 over the Ramond-type algebra and U(h)-free modules of rank 2 over the Neveu-Schwarz-type algebra, where H is a subalgebra of the Ramond-type algebra and h is the Cartan algebra of the Neveu-Schwarz-type algebra. We find that these modules are reducible and isomorphic. Published under an exclusive license by AIP Publishing.
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页数：21
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