Abstract
The based loop space homology of a special family of homogeneous spaces, flag manifolds of connected compact Lie groups is studied. First, the rational homology of the based loop space on a complete flag manifold is calculated together with its Pontrjagin structure. Second, it is shown that the integral homology of the based loop space on a flag manifold is torsion free. This results in a description of the integral homology. In addition, the integral Pontrjagin structure is determined.
Citation
Jelena Grbić. Svjetlana Terzić. "The integral Pontrjagin homology of the based loop space on a flag manifold." Osaka J. Math. 47 (2) 439 - 460, June 2010.
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