{"title":"类型$\\mathsf {A}$的等变对应和归纳Alperin权条件","authors":"Zhicheng Feng, Conghui Li, Jiping Zhang","doi":"10.1090/TRAN/8463","DOIUrl":null,"url":null,"abstract":"In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type $\\mathsf A$, contributing to the program to prove the Alperin weight conjecture by checking the inductive condition for all finite simple groups.","PeriodicalId":275006,"journal":{"name":"arXiv: Representation Theory","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Equivariant correspondences and the inductive Alperin weight condition for type $\\\\mathsf {A}$\",\"authors\":\"Zhicheng Feng, Conghui Li, Jiping Zhang\",\"doi\":\"10.1090/TRAN/8463\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type $\\\\mathsf A$, contributing to the program to prove the Alperin weight conjecture by checking the inductive condition for all finite simple groups.\",\"PeriodicalId\":275006,\"journal\":{\"name\":\"arXiv: Representation Theory\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Representation Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/TRAN/8463\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/TRAN/8463","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Equivariant correspondences and the inductive Alperin weight condition for type $\mathsf {A}$
In this paper, we establish the inductive Alperin weight condition for the finite simple groups of Lie type $\mathsf A$, contributing to the program to prove the Alperin weight conjecture by checking the inductive condition for all finite simple groups.