Whittaker modules over the N=2 Neveu-Schwarz algebra

被引：0
|
作者：
Lan, Chao [1 ]
Liu, Dong [2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
关键词：
N=2 Neveu-Schwarz algebra; Whittaker modules; simple module; HIGHEST WEIGHT MODULES; SUPERCONFORMAL ALGEBRAS; STRINGS;
D O I：
10.1142/S0219498825503724
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study Whittaker modules over the N = 2 Neveu-Schwarz algebra g. We first classify all simple finite-dimensional modules over the positive part of g. Motivated by this classification, we define Whittaker modules and investigate their simplicity. Finally, we also study the simplicity of the quotient modules of the universal Whittaker module if it is not simple.
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页数：20
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