{"title":"The Endoscopic Classification of Representations of Non-Quasi-Split Odd Special Orthogonal Groups","authors":"Hiroshi Ishimoto","doi":"10.1093/imrn/rnae113","DOIUrl":null,"url":null,"abstract":"In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary groups. After that, Kaletha, Minguez, Shin, and White gave that of non-quasi-split unitary groups for generic parameters. In this paper we prove the endoscopic classification of representations of non-quasi-split odd special orthogonal groups for generic parameters, following Kaletha, Minguez, Shin, and White.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":"26 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Mathematics Research Notices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imrn/rnae113","RegionNum":2,"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
Abstract
In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary groups. After that, Kaletha, Minguez, Shin, and White gave that of non-quasi-split unitary groups for generic parameters. In this paper we prove the endoscopic classification of representations of non-quasi-split odd special orthogonal groups for generic parameters, following Kaletha, Minguez, Shin, and White.
在阿瑟早先的一本著作中，建立了准分裂正交群和交点群的表征的内视分类。后来，莫克给出了准分裂单元群的内视分类。之后，Kaletha、Minguez、Shin 和 White 又给出了通用参数的非准分裂单元群的内视分类。在本文中，我们继 Kaletha、Minguez、Shin 和 White 之后，证明了泛参数非准分裂奇特正交群的表征的内视分类。
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