Homotopy Groups of Compact Lie Groups E6, E7 and E8

DOI10.1017/S0027763000026611zbMath0159.24802WikidataQ115336367 ScholiaQ115336367MaRDI QIDQ5542625

Hideyuki Kachi

Publication date: 1968

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

compact Lie groupshomotopy groupskilling methods

Mathematics Subject Classification ID

Manifolds and cell complexes (57-XX)

Related Items (6)

Bad representations and homotopy of character varieties ⋮ Squaring operations in the 4-connective fibre spaces over the classifying spaces of the exceptional Lie groups ⋮ Chern-Simons functional under gauge transformations on flat bundles ⋮ The mod 2 homology of the space of loops on the exceptional Lie group ⋮ Homotopic topology ⋮ Global anomalies in \(8d\) supergravity

Cites Work

• The stable homotopy of the classical groups
• On the groups \(J(X)\). IV
• The homotopy groups of a triad. II
• Groupes d'homotopie et classes de groupes abéliens
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• Cohomology Mod $2$ of the compact exceptional group $E_8$

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