{"title":"约化群与双面胞的共轭类","authors":"G. Lusztig","doi":"10.21915/bimas.2019301","DOIUrl":null,"url":null,"abstract":"Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated to a certain algebra.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"98 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2017-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Conjugacy Classes in Reductive Groups and Two-sided Cells\",\"authors\":\"G. Lusztig\",\"doi\":\"10.21915/bimas.2019301\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated to a certain algebra.\",\"PeriodicalId\":43960,\"journal\":{\"name\":\"Bulletin of the Institute of Mathematics Academia Sinica New Series\",\"volume\":\"98 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2017-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Institute of Mathematics Academia Sinica New Series\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21915/bimas.2019301\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Institute of Mathematics Academia Sinica New Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21915/bimas.2019301","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Conjugacy Classes in Reductive Groups and Two-sided Cells
Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated to a certain algebra.