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

Published online by Cambridge University Press:  14 November 2011

Akira Kono  and
Kazumuto Kozima
Akira Kono
Affiliation:
Department of Mathematics, Kyoto University, Kitashirakawa-Oiwake-cho, Sakyo-ku, Kyoto 612, Japan
Kazumuto Kozima
Affiliation:
Department of Mathematics, Kyoto University of Education, 1 Fukakusa-Fujinomori-cho, Fushimi-ku, Kyoto 612, Japan
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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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 3-4 , 1989 , pp. 187 - 202
Copyright
Copyright © Royal Society of Edinburgh 1989

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