{"title":"The integral cohomology ring of $E_7/T$","authors":"Masaki Nakagawa","doi":"10.3792/pjaa.86.64","DOIUrl":null,"url":null,"abstract":"We give a complete description of the integral cohomology ring of the flag manifold E 8 /T, where E 8 denotes the compact exceptional Lie group of rank 8 and T its maximal torus, by the method due to Borel and Toda. This completes the computation of the integral cohomology rings of the flag manifolds for all compact connected simple Lie groups.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"41 1","pages":"303-321"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3792/pjaa.86.64","citationCount":"37","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3792/pjaa.86.64","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 37
Abstract
We give a complete description of the integral cohomology ring of the flag manifold E 8 /T, where E 8 denotes the compact exceptional Lie group of rank 8 and T its maximal torus, by the method due to Borel and Toda. This completes the computation of the integral cohomology rings of the flag manifolds for all compact connected simple Lie groups.
期刊介绍：
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.
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