摘要翻译:
我们确定了例外型E_6、E_7和E_8复代数群的周环,给出了相应标志簇的Schubert簇的回拉像所表示的显式生成元。这是R.Marlin关于计算SO_n、Spin_n、G_2和F_4周环的工作的继续。我们的方法是基于Schubert演算的相应的标志变种,它有自己的兴趣。
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英文标题:
《The Chow rings of the algebraic groups E_6, E_7, and E_8》
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作者:
Shizuo Kaji and Masaki Nakagawa
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最新提交年份:
2010
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Topology 代数拓扑
分类描述:Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论,同调代数,流形的代数处理
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
We determine the Chow rings of the complex algebraic groups of the exceptional type E_6, E_7, and E_8, giving the explicit generators represented by the pull-back images of Schubert varieties of the corresponding flag varieties. This is a continuation of the work of R. Marlin on the computation of the Chow rings of SO_n, Spin_n, G_2, and F_4. Our method is based on Schubert calculus of the corresponding flag varieties, which has its own interest.
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PDF链接:
https://arxiv.org/pdf/0709.3702


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