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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
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

Synopsis

The Hopf algebra structure of H*G, 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
Copyright
Copyright © Royal Society of Edinburgh 1989

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