Classification of simple Harish-Chandra modules over the Ovsienko-Roger superalgebra

被引：4
|
作者：
Dilxat, Munayim [1 ]
Chen, Liangyun [2 ]
Liu, Dong [3 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[3] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年 / 154卷 / 02期
关键词：
Virasoro algebra; Ovsienko-Roger superalgebra; Harish-Chandra modules; Cuspidal modules; WEIGHT MODULES; LIE-ALGEBRAS; VIRASORO; SPACES;
D O I：
10.1017/prm.2023.20
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a new method to classify all simple cuspidal modules for the Z-graded and 1/2Z-graded Ovsienko-Roger superalgebras. Using this result, we classify all simple Harish-Chandra modules over some related Lie superalgebras, including the N =1 BMS(3 )superalgebra, the super W (2, 2), etc.
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页码：483 / 493
页数：11
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