Homotopy groups of the homogeneous spaces \(F_4/G_2,F_4/\text{Spin}(9)\) and \(E_6/F_4\)

DOI10.3792/PJAA.77.16zbMath0966.55011OpenAlexW1966174175MaRDI QIDQ5938539

Yoshihiro Hirato, Mamoru Mimura, Hideyuki Kachi

Publication date: 22 July 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.16

zbMATH Keywords

exceptional Lie group

Mathematics Subject Classification ID

Lie groups (22E99) Homotopy groups of special spaces (55Q52) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items (2)

Homology of iterated loop spaces of homogeneous spaces associated with exceptional Lie groups ⋮ Mod \(p\) decompositions of the loop spaces of compact symmetric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• On the 2-components of the unstable homotopy groups of spheres. I
• Three contributions to the homotopy theory of the exceptional Lie groups \(G_ 2\) and \(F_ 4\)
• The \((n+20)\)-th homotopy groups of \(n\)-spheres
• Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)
• On the generalized Hopf homomorphism and the higher composition. I, II: \(\pi_{n+i}(S^n)\) for \(i = 21\) and \(22\)
• The homotopy groups of Lie groups of low rank
• On the stable homotopy of a \(Z_2\)-Moore space
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• DETERMINATION OF 2-COMPONENTS OF THE 23 AND 24-STEMS IN HOMOTOPY GROUPS OF SPHERES

This page was built for publication: Homotopy groups of the homogeneous spaces \(F_4/G_2,F_4/\text{Spin}(9)\) and \(E_6/F_4\)