Homotopy groups of compact exceptional Lie groups
type: Item
instance of: scholarly article
title: Homotopy groups of compact exceptional Lie groups
zbMATH Open document ID: 0946.55007
author: Hideyuki Kachi
author: Mamoru Mimura
published in: Proceedings of the Japan Academy. Series A
publication date: 2000-10-18T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 55Q52
Mathematics Subject Classification ID: 57T20
Mathematics Subject Classification ID: 55Q70
zbMATH DE Number: 1335021
zbMATH Keywords: exceptional Lie group
Wikidata QID: Q115219916
reviewed by: S. Y. Husseini
MaRDI profile type: Publication
full work available at URL: pjaa.75.47
OpenAlex ID: W2088214977
cites work: Applications of the Theory of Morse to Symmetric Spaces
cites work: Q5815340
cites work: Suspensions and characteristic maps for symmetric spaces
cites work: Cohomology Operations and the Hopf Algebra Structures of the Compact, Exceptional Lie Groups E 7 and E 8
cites work: The homotopy groups of Lie groups of low rank
cites work: Cohomology operations and the homotopy of compact Lie groups. I
cites work: Q5582893
cites work: Groupes d'homotopie et classes de groupes abéliens
cites work: $p$-primary components of homotopy groups IV. Compositions and toric constructions
cites work: On iterated suspensions. I, II
DOI: 10.3792/PJAA.75.47
description: scientific article; zbMATH DE number 1335021