A note on the Samelson products in \(\pi_*(SO(2n))\) and the group \([SO(2n),SO(2n)]\)

DOI10.1016/j.topol.2006.07.010zbMath1119.55006OpenAlexW2087862487MaRDI QIDQ861936

Akira Kono, Hiroaki Hamanaka

Publication date: 2 February 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.07.010

zbMATH Keywords

orthogonal grouplocalisationself-maps

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Localization and completion in homotopy theory (55P60) Whitehead products and generalizations (55Q15)

Related Items (4)

Homotopy commutativity in Hermitian symmetric spaces ⋮ SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY ⋮ Commutativity of localized self-homotopy groups of symplectic groups ⋮ On the commutativity of the localized self homotopy groups of \(SU(n)\)

Cites Work

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• On mappings into group-like spaces
• Characteristic Classes and Homogeneous Spaces, I
• Homotopy Commutativity in Localized Groups
• Characteristic Classes. (AM-76)
• COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS
• A Connection Between the Whitehead and the Pontryagin Product
• Non commutativity of self homotopy groups

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