$E_7/T$的整上同环

Q2 Mathematics Journal of Mathematics of Kyoto University Pub Date : 2009-11-25 DOI:10.3792/pjaa.86.64

Masaki Nakagawa

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引用次数: 37

摘要

利用Borel和Toda的方法，给出了旗流形e8 /T的整上同环的完整描述，其中e8为秩8的紧化例外李群，T为其最大环面。这就完成了所有紧连通单李群的标志流形的整上同环的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The integral cohomology ring of $E_7/T$

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.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

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.