广义Weyl代数上的Whittaker模

Pub Date : 2023-02-15 DOI:10.1007/s10468-023-10200-6

Hongjia Chen, Longhui Wang

{"title":"广义Weyl代数上的Whittaker模","authors":"Hongjia Chen, Longhui Wang","doi":"10.1007/s10468-023-10200-6","DOIUrl":null,"url":null,"abstract":"<div>In Benkart and Ondrus (Represent. Theory 13, 141–164 2009), Benkart and Ondrus investigated Whittaker modules for generalized Weyl algebras. Following the results of Benkart and Ondrus, we study Whittaker modules for three special kinds of generalized Weyl algebras in this note, including Rueda’s algebras, the algebras Uq(f(K)) and Uq(f(K,H)). In particular, we acquire the centers of the last two classes of algebras before giving an explicit description of their simple Whittaker modules.</div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Whittaker Modules Over Some Generalized Weyl Algebras\",\"authors\":\"Hongjia Chen, Longhui Wang\",\"doi\":\"10.1007/s10468-023-10200-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>In Benkart and Ondrus (Represent. Theory 13, 141–164 2009), Benkart and Ondrus investigated Whittaker modules for generalized Weyl algebras. Following the results of Benkart and Ondrus, we study Whittaker modules for three special kinds of generalized Weyl algebras in this note, including Rueda’s algebras, the algebras Uq(f(K)) and Uq(f(K,H)). In particular, we acquire the centers of the last two classes of algebras before giving an explicit description of their simple Whittaker modules.</div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10468-023-10200-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10468-023-10200-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在 Benkart 和 Ondrus (Represent. Theory 13, 141-164 2009)一文中，Benkart 和 Ondrus 研究了广义韦尔代数的惠特克模块。根据 Benkart 和 Ondrus 的研究成果，我们在本论文中研究了三种特殊广义韦尔代数的惠特克模块，包括鲁埃达代数、Uq(f(K)) 代数和 Uq(f(K,H)) 代数。特别是，我们在明确描述后两类代数的简单惠特克模块之前，先获得了它们的中心。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Whittaker Modules Over Some Generalized Weyl Algebras

In Benkart and Ondrus (Represent. Theory 13, 141–164 2009), Benkart and Ondrus investigated Whittaker modules for generalized Weyl algebras. Following the results of Benkart and Ondrus, we study Whittaker modules for three special kinds of generalized Weyl algebras in this note, including Rueda’s algebras, the algebras U_q(f(K)) and U_q(f(K,H)). In particular, we acquire the centers of the last two classes of algebras before giving an explicit description of their simple Whittaker modules.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助