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On the commutativity of the localized self homotopy groups of \(SU(n)\)

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Publication:968913
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DOI10.1016/j.topol.2010.02.008zbMath1189.55005OpenAlexW2000225130MaRDI QIDQ968913

Hiroaki Hamanaka, Akira Kono

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.02.008


zbMATH Keywords

unitary groupcommutativityself homotopy group


Mathematics Subject Classification ID

Whitehead products and generalizations (55Q15)


Related Items

Commutativity of localized self-homotopy groups of symplectic groups



Cites Work

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  • A note on the Samelson product in the classical groups
  • 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
  • Self homotopy group of the exceptional Lie group \(G_2\)
  • Noncommutativity of the group of self homotopy classes of Lie groups
  • On \([X,U(n)\) when \(\dim X\) is \(2n\)]
  • Homotopy limits, completions and localizations
  • Groupes d'homotopie et classes de groupes abéliens
  • On mappings into group-like spaces
  • Homotopy Commutativity in Localized Groups
  • COMMUTATIVITY OF THE GROUP OF SELF-HOMOTOPY CLASSES OF LIE GROUPS
  • The self homotopy set of a Hopf-space
  • Non commutativity of self homotopy groups
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