Induced representations of compact Lie groups and the Adams operations

DOI10.2977/prims/1195185263zbMath0506.55012OpenAlexW2021332956WikidataQ115224792 ScholiaQ115224792MaRDI QIDQ1836903

Akira Kono

Publication date: 1981

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195185263

zbMATH Keywords

Adams operationCartan subgroupBecker-Gottlieb transferorder of elements of J(X)Segal induction homomorphism

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) (J)-morphism (55Q50)

Related Items (3)

On the Bott cannibalistic classes ⋮ EXPLICIT BRAUER INDUCTION AND THE GLAUBERMAN CORRESPONDENCE ⋮ On the order of certain elements of J(X) and the Adams conjecture

Cites Work

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• The transfer map and fiber bundles
• The transfer homomorphism in equivariant generalized cohomology theories
• On the order of certain elements of J(X) and the Adams conjecture
• The representation ring of a compact Lie group
• Homogeneous vector bundles on homogeneous spaces
• On the K-Theory of Homogeneous Spaces and Conjugate Bundles of Lie Groups
• Vector fields on spheres

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