On the ‘Classifying Space’ Functor for Compact Lie Groups

DOI10.1112/jlms/52.1.185zbMath0836.55008OpenAlexW2134471781WikidataQ115257217 ScholiaQ115257217MaRDI QIDQ4864044

Dietrich Notbohm

Publication date: 6 May 1996

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

Full work available at URL: https://doi.org/10.1112/jlms/52.1.185

zbMATH Keywords

group extensionsconnected Lie groupsassociated classifying spacesfiber homotopy equivalence classesnormalizer of the maximal torus

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) General properties and structure of real Lie groups (22E15) Homology and homotopy of topological groups and related structures (57T99)

Related Items (8)

Variations of rational higher tangential structures ⋮ Normalizers of tori ⋮ Maps between classifying spaces of Kac--Moody groups ⋮ Automorphisms of \(p\)-compact groups and their root data ⋮ Comparing the homotopy types of the components of \(\text{Map} (S^4, B\text{SU}(2))\) ⋮ A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions ⋮ Connected finite loop spaces with maximal tori ⋮ On the isomorphism and diffeomorphism of compact semisimple Lie groups

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