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Suspension Splittings and Self-maps of Flag Manifolds
Authors:Kaji  Shizuo  Theriault  Stephen
Affiliation:1. Institute of Mathematics for Industry, Kyushu University, Fukuoka, 819-0395, Japan;2. Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom
Abstract:If G is a compact connected Lie group and T is a maximal torus, we give a wedge decomposition of ΣG/T by identifying families of idempotents in cohomology. This is used to give new information on the self-maps of G/T.
Keywords:Flag manifold  self-map  stable splitting  
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