{"title":"Chevalley群的1-同伦","authors":"Matthias Wendt","doi":"10.1017/IS010001014JKT096","DOIUrl":null,"url":null,"abstract":"In this paper, we describe the sheaves of A-homotopy groups of a simplyconnected Chevalley group G. The A-homotopy group sheaves can be identified with the sheafification of the unstable Karoubi-Villamayor K-groups.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"5 1","pages":"245-287"},"PeriodicalIF":0.0000,"publicationDate":"2010-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS010001014JKT096","citationCount":"36","resultStr":"{\"title\":\"1-Homotopy of Chevalley Groups\",\"authors\":\"Matthias Wendt\",\"doi\":\"10.1017/IS010001014JKT096\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we describe the sheaves of A-homotopy groups of a simplyconnected Chevalley group G. The A-homotopy group sheaves can be identified with the sheafification of the unstable Karoubi-Villamayor K-groups.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"5 1\",\"pages\":\"245-287\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS010001014JKT096\",\"citationCount\":\"36\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS010001014JKT096\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS010001014JKT096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we describe the sheaves of A-homotopy groups of a simplyconnected Chevalley group G. The A-homotopy group sheaves can be identified with the sheafification of the unstable Karoubi-Villamayor K-groups.
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