Imaginary Modules over the Affine Nappi-Witten Algebra

被引：1
|
作者：
Bao, Yi Xin [1 ]
Cai, Yan An [2 ]
机构：
[1] Harbin Inst Technol Shenzhen, Sch Sci, Shenzhen 518055, Peoples R China
[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2022年 / 38卷 / 06期
基金：
中国博士后科学基金;
关键词：
Affine Nappi-Witten algebra; imaginary Verma modules; imaginary highest weight modules; imaginary Whittaker modules; simple modules; WHITTAKER MODULES; REPRESENTATIONS;
D O I：
10.1007/s10114-022-0246-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the imaginary highest weight modules and the imaginary Whittaker modules for the affine Nappi-Witten algebra. We show that simple singular imaginary Whittaker modules at level (kappa, c) (kappa is an element of C*) are simple imaginary highest weight modules. The necessary and sufficient conditions for these imaginary modules to be simple are given. All simple imaginary modules are classified.
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页码：1041 / 1053
页数：13
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