SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY

DOI10.1017/S001708951600063XzbMath1422.55026arXiv1405.0337OpenAlexW2299901355MaRDI QIDQ4600315

Mitsunobu Tsutaya, Daisuke Kishimoto

Publication date: 8 January 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0337

Mathematics Subject Classification ID

Whitehead products and generalizations (55Q15)

Related Items (5)

Homotopy commutativity in Hermitian symmetric spaces ⋮ The mod-p homology of the classifying spaces of certain gauge groups ⋮ Higher homotopy normalities in topological groups ⋮ Higher homotopy associativity in the Harris decomposition of Lie groups ⋮ NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS

Cites Work

• Samelson products in \(p\)-regular exceptional Lie groups
• A note on the Samelson product in the classical groups
• Homotopy nilpotency in \(p\)-regular loop spaces
• A note on the Samelson products in \(\pi_*(SO(2n))\) and the group \([SO(2n),SO(2n)\)]
• A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups
• Exceptional isogenies and the classifying spaces of simple Lie groups
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS
• ON p - EQUIVALENCES OF mod p H - SPACES
• THE SPHERE, CONSIDERED AS AN H-SPACE MOD_p
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