Imaginary Modules over the Affine Nappi—Witten Algebra

被引：0
|
作者：
Yi Xin Bao
Yan An Cai
机构：
[1] Harbin Institute of Technology (Shenzhen),School of Sciences
[2] Soochow University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2022年 / 38卷
关键词：
Affine Nappi—Witten algebra; imaginary Verma modules; imaginary highest weight modules; imaginary Whittaker modules; simple modules; 17B10; 17B20; 17B65; 17B66; 17B68;
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学科分类号：
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 (κ, c)(κ ∈ 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：12
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