Whittaker Modules over the N=2 Super-BMS3 Algebra

被引：1

作者：

Wu, Qingyan ^{[1
]}

Gao, Shoulan ^{[2
]}

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：

FRONTIERS OF MATHEMATICS | 2025年 / 20卷 / 01期

关键词：

Whittaker module; high order Whittaker module; supersymmetric extension; super-BMS3; algebra; LIE-ALGEBRA; REPRESENTATIONS; CATEGORIES; VECTORS;

D O I：

10.1007/s11464-023-0104-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS3 algebra. We provide a classification of Whittaker vectors and establish the necessary and sufficient conditions for Whittaker modules to be simple. Additionally, we study the simple quotient of the universal Whittaker module if it is not simple.

引用

页码：137 / 150

页数：14

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