{"title":"SO(2n+1)的单能回火和还原表示的波前","authors":"J. Waldspurger","doi":"10.2140/tunis.2020.2.43","DOIUrl":null,"url":null,"abstract":"Let G be a special orthogonal group SO(2n+1) defined over a p-adic field F. Let $\\pi$ be an admissible irreducible representation of G(F) which is tempered and of unipotent reduction. We prove that $\\pi$ has a wave front set. In some particular cases, for instance if $\\pi$ is of the discrete series, we give a method to compute this wave front set.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2017-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/tunis.2020.2.43","citationCount":"8","resultStr":"{\"title\":\"Fronts d’onde des représentations tempérées\\net de réduction unipotente pour SO(2n + 1)\",\"authors\":\"J. Waldspurger\",\"doi\":\"10.2140/tunis.2020.2.43\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let G be a special orthogonal group SO(2n+1) defined over a p-adic field F. Let $\\\\pi$ be an admissible irreducible representation of G(F) which is tempered and of unipotent reduction. We prove that $\\\\pi$ has a wave front set. In some particular cases, for instance if $\\\\pi$ is of the discrete series, we give a method to compute this wave front set.\",\"PeriodicalId\":36030,\"journal\":{\"name\":\"Tunisian Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2017-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.2140/tunis.2020.2.43\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tunisian Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/tunis.2020.2.43\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tunisian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/tunis.2020.2.43","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Fronts d’onde des représentations tempérées
et de réduction unipotente pour SO(2n + 1)
Let G be a special orthogonal group SO(2n+1) defined over a p-adic field F. Let $\pi$ be an admissible irreducible representation of G(F) which is tempered and of unipotent reduction. We prove that $\pi$ has a wave front set. In some particular cases, for instance if $\pi$ is of the discrete series, we give a method to compute this wave front set.