Mod p decompositions of the loop spaces of compact symmetric spaces

Abstract

We give p-local homotopy decompositions of the loop spaces of compact, simply-connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres, and their loop spaces. As an application, upper bounds for the homotopy exponents are determined.

31 pages

References in corpus (3)

• The integral cohomology ring of E_8/T
• The integral cohomology ring of E_8/T^1E_7
• Homotopy Decompositions of Looped Stiefel manifolds, and their Exponents