{"title":"关于仿射施普林格纤维的评述","authors":"G. Lusztig","doi":"10.21915/bimas.2020101","DOIUrl":null,"url":null,"abstract":"Let h be a regular semisimple element in a complex simple Lie algebra g. Let t be an indeterminate. We consider the \"variety\" of Iwahori subalgebras of g tensored with power series in t which contain t times h. This variety admits a free action of a free abelian group of rank equal to the rank of g. We describe a fundamental domain for this action.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"1 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Remarks on Affine Springer Fibres\",\"authors\":\"G. Lusztig\",\"doi\":\"10.21915/bimas.2020101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let h be a regular semisimple element in a complex simple Lie algebra g. Let t be an indeterminate. We consider the \\\"variety\\\" of Iwahori subalgebras of g tensored with power series in t which contain t times h. This variety admits a free action of a free abelian group of rank equal to the rank of g. We describe a fundamental domain for this action.\",\"PeriodicalId\":43960,\"journal\":{\"name\":\"Bulletin of the Institute of Mathematics Academia Sinica New Series\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2019-02-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"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.2020101\",\"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.2020101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Let h be a regular semisimple element in a complex simple Lie algebra g. Let t be an indeterminate. We consider the "variety" of Iwahori subalgebras of g tensored with power series in t which contain t times h. This variety admits a free action of a free abelian group of rank equal to the rank of g. We describe a fundamental domain for this action.