A note on Samelson products and mod \(p\) cohomology of classifying spaces of the exceptional Lie groups

DOI10.1016/j.topol.2009.09.008zbMath1182.55011OpenAlexW1971205596WikidataQ115340831 ScholiaQ115340831MaRDI QIDQ1044872

Akira Kono, Hiroaki Hamanaka

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.09.008

zbMATH Keywords

cohomologyexceptional Lie groupSamelson product

Mathematics Subject Classification ID

Homology and homotopy of topological groups and related structures (57T99) Whitehead products and generalizations (55Q15)

Related Items (9)

Homotopy nilpotency in \(p\)-regular loop spaces ⋮ Homotopy commutativity in Hermitian symmetric spaces ⋮ SAMELSON PRODUCTS IN p-REGULAR SO(2n) AND ITS HOMOTOPY NORMALITY ⋮ Mod \(p\) decompositions of gauge groups ⋮ Samelson products in \(p\)-regular exceptional Lie groups ⋮ Higher homotopy associativity in the Harris decomposition of Lie groups ⋮ Mod \(p\) homology of \(F_{4}\)-gauge groups over \(S^4\) ⋮ NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS ⋮ Mod \(p\) decompositions of the loop spaces of compact symmetric spaces

Cites Work

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• The embeddings \(O(n)\subset U(n)\) and \(U(n)\subset Sp(n)\), and a Samelson product
• Homotopy limits, completions and localizations
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• COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS
• On the Topology of EIII and EIV
• On the Non-Commutativity of Pontrjagin Rings Mod 3 of Some Compact Exceptional Groups

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