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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Manuscripta Mathematica.
( Vol. 103 NO.1 / (2000))
Homology of the double and the triple loop spaces of $E_6, E_7$, and $E_8$
Younggi Choi, Seonhee Yoon,
Pages. 101-116
Abstract We study the $mod p$ homology of the double and the triple loop spaces of exceptional
Lie groups $E_6, E_7,$ and $E_8$ through the Eilenberg-Moore spectral sequence and the
Serre spectral sequence using homology operations. The Bockstein actions on them are also
determined. As a result, the Eilenberg-Moore spectral sequences of the path loop fibrations
converging to $H_*(Omega^2 G; Bbb F_p)$ and $H_*(Omega^3 G; Bbb F_p)$ collapse at the $E^2$-term for any compact
simple Lie group $G$.
Contents 1. Introduction
2. Preliminaries
3. $G$ with $p$-torsion
4. $G$ of torsion free
Key words
Mathmatical Subject Classification 55R20, 55T20, 57T10