Torsion in the homology of the double loop spaces of compact simple Lie groups

Younggi Choi; Seonhee Yoon

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J. Korean Math. Soc. 2002; 39(1): 149-161

Printed January 1, 2002

Torsion in the homology of the double loop spaces of compact simple Lie groups

Younggi Choi and Seonhee Yoon

Seoul National University and Korean Information Security Agency

Abstract

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Abstract

We study the torsions in the integral homology of the double loop space of the compact simple Lie groups by determining the higher Bockstein actions on the homology of those spaces through the Bockstein lemma and computing the Bockstein spectral sequence.

Keywords: $p$--torsion, Bockstein spectral sequence, Lie group, loop space

MSC numbers: 55S20, 55T05, 57T10