COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS

DOI10.1112/S0024609303002571zbMath1041.55009OpenAlexW2116038440WikidataQ115256356 ScholiaQ115256356MaRDI QIDQ4460783

Akira Kono, Hideaki Ōshima

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1112/s0024609303002571

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Homotopy groups, general; sets of homotopy classes (55Q05) Homology and homotopy of topological groups and related structures (57T99)

Related Items (14)

On a conjecture of Ōshima ⋮ Homotopy nilpotency in \(p\)-regular loop spaces ⋮ A note on the Samelson products in \(\pi_*(SO(2n))\) and the group \([SO(2n),SO(2n)\)] ⋮ On Samelson products in \(p\)-localized unitary groups ⋮ The homotopy types of \(G_{2}\)-gauge groups ⋮ Homotopy commutativity in Hermitian symmetric spaces ⋮ On localized self-homotopy groups of \(SU(4)\) and \(Sp(4)\) ⋮ SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY ⋮ Homotopy groups of the spaces of self-maps of Lie groups ⋮ Commutativity of localized self-homotopy groups of symplectic groups ⋮ On the commutativity of the localized self homotopy groups of \(SU(n)\) ⋮ Self homotopy groups with large nilpotency classes ⋮ A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups ⋮ NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS

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