最小抛物子群上支持的p进群SO(7)的酉对偶

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2021-06-24 DOI:10.3336/gm.56.1.08

Darija Brajković Zorić

{"title":"最小抛物子群上支持的p进群SO(7)的酉对偶","authors":"Darija Brajković Zorić","doi":"10.3336/gm.56.1.08","DOIUrl":null,"url":null,"abstract":"In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. In explicit determination of the unitary dual the external approach is used, which represents the basic approach for finding the unitary dual, and consists of two main steps: a complete description of the non-unitary dual and the extraction of the classes of unitarizable representations among the obtained irreducible subquotients. We expect that our results will provide deeper insight into the structure of the unitary dual in the general case.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"37 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup\",\"authors\":\"Darija Brajković Zorić\",\"doi\":\"10.3336/gm.56.1.08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. In explicit determination of the unitary dual the external approach is used, which represents the basic approach for finding the unitary dual, and consists of two main steps: a complete description of the non-unitary dual and the extraction of the classes of unitarizable representations among the obtained irreducible subquotients. We expect that our results will provide deeper insight into the structure of the unitary dual in the general case.\",\"PeriodicalId\":55601,\"journal\":{\"name\":\"Glasnik Matematicki\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Glasnik Matematicki\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3336/gm.56.1.08\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.56.1.08","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文确定了具有最小抛物子群支持的p进群SO(7)的幺正对偶。在明确确定幺正对偶的过程中，采用了外部方法，它代表了寻找幺正对偶的基本方法，主要包括两个步骤:对非幺正对偶的完整描述和在得到的不可约子商中提取幺正表示的类。我们期望我们的结果将在一般情况下对酉对偶的结构提供更深入的了解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup

In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. In explicit determination of the unitary dual the external approach is used, which represents the basic approach for finding the unitary dual, and consists of two main steps: a complete description of the non-unitary dual and the extraction of the classes of unitarizable representations among the obtained irreducible subquotients. We expect that our results will provide deeper insight into the structure of the unitary dual in the general case.

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

来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.