Homotopy of the exceptional Lie group G2

DOI10.1017/S0013091500017557zbMath0604.55005OpenAlexW2005335627WikidataQ115336751 ScholiaQ115336751MaRDI QIDQ3740646

Shichiro Oka

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017557

zbMATH Keywords

exceptional Lie groupAdams e-invariantH-structureK-theory spheresmod 2 Moore spaceself-maps of \(G_ 2\)stable decomposition of \(G_ 2\)

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) (H)-spaces and duals (55P45) Homotopy groups of special spaces (55Q52) Stable homotopy groups (55Q10) Stable homotopy of spheres (55Q45)

Related Items (4)

On the stable homotopy of the real projective space of even low dimension ⋮ On Harper's mod pH-space of rank 2 ⋮ The stable cohomotopy ring of \(G_ 2\) ⋮ $\boldsymbol {\pi _*}$-kernels of Lie groups

Cites Work

• Vector bundles and the Künneth formula
• \(H\)-spaces and duality
• On the K-theory of compact Lie groups
• On the groups \(J(X)\). IV
• On the K-theory of Lie groups
• On spectra realizing exterior parts of the Steenrod algebra
• SUSPENSIONS OF STIEFEL MANIFOLDS
• Applications of the Theory of Morse to Symmetric Spaces
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Small ring spectra and 𝑝-rank of the stable homotopy of spheres
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
• Vector fields on spheres

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