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• W2000225130 abstract "For a connected Lie group G , the homotopy set [ G , G ] inherits the group structure by the pointwise multiplication and is called by the self homotopy group of G . In this paper we work with the case G = SU ( n ) , U ( n ) . It was shown by McGibbon that SU ( n ) and U ( n ) themselves are homotopy commutative when they are localized at p and p > 2 n − 1 . Thus the p -localized self homotopy groups of SU ( n ) and U ( n ) are commutative, if p > 2 n − 1 . Then the converse is true? In this paper, we completely determine, for which p , the p -localized self homotopy group of G is commutative, in the case G = U ( n ) , SU ( n ) or SU ( n ) / H where H is a subgroup of the center of SU ( n ) ." @default.
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• W2000225130 date "2010-05-01" @default.
• W2000225130 modified "2023-10-17" @default.
• W2000225130 title "On the commutativity of the localized self homotopy groups of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi mathvariant=italic>SU</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>" @default.
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• W2000225130 doi "https://doi.org/10.1016/j.topol.2010.02.008" @default.
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