Shen-Larsson’s modules for simple generalized Witt algebras

被引：0
作者：
Xuewen Liu
Mengjiao Wang
Xiangqian Guo
机构：
[1] Tianjin Medical University,School of Public Health
[2] Zhengzhou University,School of Mathematics and Statistics
来源：
Algebras and Representation Theory | 2023年 / 26卷
关键词：
Generalized Witt algebras; Weyl algebras; Weight modules; Irreducible modules; 17B10; 17B20; 17B65; 17B66; 17B68;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we extend the Shen-Larsson’s construction for Witt algebras to simple generalized Witt algebras and construct a class of modules for these algebras. We determine the irreducibility and isomorphism of these modules under certain countability conditions. Thus we obtain a large family of irreducible weight modules other than highest weight modules and many irreducible non-weight modules over the simple generalized Witt algebras.
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页码：1799 / 1821
页数：22
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