Mod-p homotopy decompositions of looped Stiefel manifolds
Mod-p homotopy decompositions of looped Stiefel manifolds
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 obtained.
Stiefel manifold, loop space, decomposition, exponent
59-69
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
2016
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Theriault, Stephen
(2016)
Mod-p homotopy decompositions of looped Stiefel manifolds.
Homology, Homotopy and Applications, 18 (2), .
(doi:10.4310/HHA.2016.v18.n2.a3).
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 obtained.
Text
Loop_Stiefel_manifold
- Accepted Manuscript
More information
Accepted/In Press date: 6 July 2016
e-pub ahead of print date: 29 November 2016
Published date: 2016
Keywords:
Stiefel manifold, loop space, decomposition, exponent
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 407303
URI: http://eprints.soton.ac.uk/id/eprint/407303
PURE UUID: 15eb3f2c-d0c0-4973-bd50-138a5cb49f25
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Date deposited: 01 Apr 2017 01:13
Last modified: 16 Mar 2024 04:13
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