Exceptional isogenies and the classifying spaces of simple Lie groups

DOI10.2307/1970938zbMath0308.55016OpenAlexW2328992943WikidataQ115229508 ScholiaQ115229508MaRDI QIDQ1218678

Eric M. Friedlander

Publication date: 1975

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970938

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) (Co)homology theory in algebraic geometry (14F99) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

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Realizability and Nonrealizability of Dickson Algebras as Cohomology Rings ⋮ Multiplicative Properties of Power Maps. II ⋮ Homotopy nilpotency in \(p\)-regular loop spaces ⋮ On the mod-\( \ell\) homology of the classifying space for commutativity ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ The odd primary homology of \(SU(n), Sp(n)\) and \(Spin(n)\)-gauge groups ⋮ SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY ⋮ Homotopy types of \(\mathrm{Spin}^{\mathrm{c}} (n)\)-gauge groups over \(S^4\) ⋮ Unstable Adams operations on classifying spaces ⋮ Mod \(p\) decompositions of gauge groups ⋮ Samelson products in \(p\)-regular exceptional Lie groups ⋮ Embeddings of $\mathrm {DI}_2$ in $\mathrm {F}_4$ ⋮ Chevalley \(p\)-local finite groups ⋮ Maps between classifying spaces ⋮ Maps between classifying spaces and applications ⋮ Fake Lie groups with maximal tori. IV ⋮ Commutativity of localized self-homotopy groups of symplectic groups ⋮ Odd primary homotopy decompositions of gauge groups ⋮ Cellular approximations of infinite loop spaces ⋮ Rigidity properties of compact Lie groups modulo maximal tori

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