MOD-p HOMOTOPY DECOMPOSITIONS OF LOOPED STIEFEL MANIFOLDS

Abstract

Let Wn,k be the Stiefel manifold U(n)/U(n − k). For odd primes p and for k ≤ (p − 1)(p − 2), we give a homotopy decomposition of the based loop space ΩWn,k as a product of p− 1 factors, each of which is the based loops on a finite H-space. Similar decompositions are obtained for Sp(n)/Sp(n− k) and O(n)/O(n− k) and upper bounds on the homotopy exponents are… (More)

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Cite this paper

@inproceedings{Mimura2016MODpHD, title={MOD-p HOMOTOPY DECOMPOSITIONS OF LOOPED STIEFEL MANIFOLDS}, author={Mamoru Mimura and STEPHEN THERIAULT}, year={2016} }