Dan Barbasch, Jia Jun Ma, Bin Yong Sun, Chen Bo Zhu
{"title":"A 型简单线性李群的特殊单能代表","authors":"Dan Barbasch, Jia Jun Ma, Bin Yong Sun, Chen Bo Zhu","doi":"10.1007/s10114-024-3206-y","DOIUrl":null,"url":null,"abstract":"<p>Let <i>G</i> be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of <i>G</i> in the sense of Arthur and Barbasch–Vogan, and show in particular that all of them are unitarizable.</p>","PeriodicalId":50893,"journal":{"name":"Acta Mathematica Sinica-English Series","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Special Unipotent Representations of Simple Linear Lie Groups of Type A\",\"authors\":\"Dan Barbasch, Jia Jun Ma, Bin Yong Sun, Chen Bo Zhu\",\"doi\":\"10.1007/s10114-024-3206-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Let <i>G</i> be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of <i>G</i> in the sense of Arthur and Barbasch–Vogan, and show in particular that all of them are unitarizable.</p>\",\"PeriodicalId\":50893,\"journal\":{\"name\":\"Acta Mathematica Sinica-English Series\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Sinica-English Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10114-024-3206-y\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Sinica-English Series","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10114-024-3206-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
设 G 是实数、复数或四元数上的特殊线性群，或特殊单元群。在本说明中，我们将确定亚瑟和巴巴希-沃根意义上的 G 的所有特殊单能表示，并特别说明它们都是可单位化的。
Special Unipotent Representations of Simple Linear Lie Groups of Type A
Let G be a special linear group over the real, the complex or the quaternion, or a special unitary group. In this note, we determine all special unipotent representations of G in the sense of Arthur and Barbasch–Vogan, and show in particular that all of them are unitarizable.
期刊介绍：
Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
