Vector bundles over classifying spaces of compact Lie groups

DOI10.1007/BF02547337zbMath0896.55003OpenAlexW2043630157WikidataQ115392079 ScholiaQ115392079MaRDI QIDQ1372999

Stefan Jackowski, Robert Oliver

Publication date: 5 November 1997

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02547337

zbMATH Keywords

classifying spacerepresentationLie group\(K\)-theorySmith theoryvector bundlecompletionGrothendieck groupMackey functorhomotopy limit\(p\)-toral groupspace of maps

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Equivariant homology and cohomology in algebraic topology (55N91) Topology of vector bundles and fiber bundles (57R22) Topological (K)-theory (55N15)

Related Items

Uniqueness of factorization for fusion-invariant representations, Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality, A quotient of the set \([BG,BU(n)\) for a finite group \(G\) of small rank.], On the classifying space of a linear algebraic group. I., Unitary embeddings of finite loop spaces, Homotopy representations of \(\mathrm{SO}(7)\) and \(\mathrm{Spin}(7)\) at the prime 2, Rational computations of the topological K-theory of classifying spaces of discrete groups, Homology decompositions for classifying spaces of compact Lie groups, The classification of 2-compact groups

Cites Work

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