Non-Weight Modules over the N=1 Heisenberg-Virasoro Superalgebra

被引：0
|
作者：
Dilxat, Munayim [1 ]
Liu, Dong [2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 07期
关键词：
Cartan subalgebra; N=1 Heisenberg-Virasoro superalgebra; freeU(h)-module; ALGEBRAS;
D O I：
10.3390/sym16070853
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we mainly study free U(h)-modules over the N=1 Heisenberg-Virasoro superalgebra. We construct a family of non-weight modules that are free of rank 2 when regarded as modules over the Cartan subalgebra. Moreover, we classify the free U(h)-modules of rank 2 over the N = 1 Heisenberg-Virasoro superalgebra and provide the necessary and sufficient conditions for such g-modules to be isomorphic.
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页数：10
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