Homotopy groups of compact exceptional Lie groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Apr 1999Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 75 (issn: 0386-2194,

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Authors: Kachi, Hideyuki; Mimura, Mamoru;

doi: 10.3792/pjaa.75.47

Homotopy groups of compact exceptional Lie groups

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Abstract

Let \(G\) be a compact, connected, and simply connected simple exceptional Lie group. In this note the authors calculate \(\pi_i(G:3)\), the \(3\)-primary component of \(\pi_i(G)\). The methods used are the standard methods based on killing homotopy groups and homotopy exact sequences of suitable fibrations.

Keywords

Homotopy groups of special types, Homotopy groups of topological groups and homogeneous spaces, exceptional Lie group, Homotopy groups of special spaces

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