The mod 2 homology of the space of loops on the exceptional Lie group

The mod 2 homology of the space of loops on the exceptional Lie group
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例外李群上环空间的 mod 2 同调

DOI:
10.1017/s0308210500018667
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发表时间:
1989
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
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通讯作者:
Kazumuto Kozima
Kazumuto Kozima
中科院分区:
--
文献类型:
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作者:
A. Kono;Kazumuto Kozima

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概要 当 G 是连通、单连通、例外、简单李群时,H*(ΩG, F2) 的 Hopf 代数结构和对偶 Steenrod 代数的作用完全明确地确定。该方法是同源的,使用连接的覆盖层和谱序列。
Synopsis The Hopf algebra structure of H*(ΩG, F2) and the action of the dual Steenrod algebra are completely and explicitly determined when G isone of the connected, simply connected, exceptional, simple Lie groups. The approach is homological, using connected coverings and spectral sequences.