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.

引用

页码：483 / 493

页数：11

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