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Samelson products in Sp(2). (English) Zbl 1144.55014
Summary: We calculate certain Samelson products of Sp(2). Using the result, we classify the homotopy types of the gauge groups of principal Sp(2) bundles over $$S^{8}$$ and we also derive the homotopy commutativity of Sp(2) localized at 3.

##### MSC:
 55Q15 Whitehead products and generalizations 55P10 Homotopy equivalences in algebraic topology
##### Keywords:
Samelson product; gauge group; homotopy commutativity
Full Text:
##### References:
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