Evaluation subgroups of homogeneous spaces of compact Lie groups
Bull. Korean Math. Soc. 2013 Vol. 50, No. 5, 1725-1736
https://doi.org/10.4134/BKMS.2013.50.5.1725
Published online September 1, 2013
Jin Ho Lee and Kee Young Lee
Korea University, Korea University
Abstract : In this paper, we compute the images of homotopy groups of various classical Lie groups under the homomorphisms induced by the natural projections from those groups to irreducible symmetric spaces of classical type. We identify that those computations are certain lower bounds of Gottlieb groups of irreducible symmetric spaces. We use the lower bounds to compute some Gottlieb groups.
Keywords : evaluation subgroup, symmetric spaces, stable homotopy groups
MSC numbers : 55Q52, 55Q70, 55Q10
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