{"title":"Symmetric pairs and branching laws","authors":"Paul-Émile Paradan","doi":"10.1016/j.indag.2024.03.009","DOIUrl":null,"url":null,"abstract":"Let be a compact connected Lie group and let be a subgroup fixed by an involution. A classical result assures that the -action on the flag variety of admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair that is parametrized by .","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":"142 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1016/j.indag.2024.03.009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let be a compact connected Lie group and let be a subgroup fixed by an involution. A classical result assures that the -action on the flag variety of admits a finite number of orbits. In this article we propose a formula for the branching coefficients of the symmetric pair that is parametrized by .