K-théorie des corps finis et homotopie stable du classifiant d'un groupe de Lie

DOI10.1016/0022-4049(84)90042-2zbMath0564.55003OpenAlexW1997823835WikidataQ115364463 ScholiaQ115364463MaRDI QIDQ1058188

Lionel Schwartz

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90042-2

zbMATH Keywords

action of the Weyl groupcoaction in the K-homology of the classifying space of a compact Lie groupHurewicz map from stable homotopy to K-homologylocalization with respect to the Adams self-map of the Moore spectrum

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological (K)-theory (55N15) Stable homotopy groups (55Q10)

Cites Work

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• On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space
• Some applications of the Rothenberg-Steenrod spectral sequence
• Multiplicative structures in mod q cohomology theories. I
• Algebraic cobordism and 𝐾-theory
• Opérations d'Adams en K-homologie et applications
• VECTOR BUNDLES INVARIANT UNDER THE ADAMS OPERATIONS

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