The mod 2 homology of the space of loops on the exceptional Lie group-Reference-Cited by-同舟云学术

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

Published:1989 Issue:3-4 Volume:112 Page:187-202
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Kono Akira,Kozima Kazumuto

Abstract

SynopsisThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. Groupes D'Homotopie Et Classes De Groupes Abeliens

2. An application of the Morse theory to the topology of Lie-groups

3. The cohomology of classifying spaces of 𝐻-spaces

4. Cohomology Mod $2$ of the compact exceptional group $E_8$

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