Non-weight modules over the super Schrödinger algebra

被引：1
|
作者：
Wang, Xinyue [1 ]
Chen, Liangyun [1 ]
Ma, Yao [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, 5268,Renmin St, Changchun 130024, Jilin, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2024年 / 74卷 / 03期
关键词：
super Schr & ouml; dinger algebra; simple module; U(h)-free module; non-weight module; FAMILY;
D O I：
10.21136/CMJ.2024.0030-23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a family of non-weight modules which are free U(h)-modules of rank 2 over the N = 1 super Schr & ouml;dinger algebra in (1+1)-dimensional spacetime. We determine the isomorphism classes of these modules. In particular, free U(h)-modules of rank 2 over osp(1 divided by 2) are also constructed and classified. Moreover, we obtain the sufficient and necessary conditions for such modules to be simple.
引用
收藏
页码：647 / 664
页数：18
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