Geodesic
Variations on the Cohomology of Loop Spaces on Generalized Homogeneous Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 217-223

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The cohomology of the space of loops on generalized homogeneous spaces is determined by using the Eilenberg–Moore spectral sequence. This generalizes classical results for homogeneous spaces of compact Lie groups. 
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     author = {F. Neumann},
     title = {Variations on the {Cohomology} of {Loop} {Spaces} on {Generalized} {Homogeneous} {Spaces}},
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F. Neumann. Variations on the Cohomology of Loop Spaces on Generalized Homogeneous Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology, discrete geometry, and set theory, Tome 252 (2006), pp. 217-223. http://geodesic.mathdoc.fr/item/TM_2006_252_a17/