The integral Pontrjagin homology of the based loop space on a flag manifold
Grbić, Jelena ; Terzić, Svjetlana
Osaka J. Math., Tome 47 (2010) no. 1, p. 439-460 / Harvested from Project Euclid
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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.
Publié le : 2010-06-15
Classification:  57T20,  55P62,  55P35,  57T35 
@article{1277298912,
     author = {Grbi\'c, Jelena and Terzi\'c, Svjetlana},
     title = {The integral Pontrjagin homology of the based loop space on a flag manifold},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 439-460},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298912}
}

Grbić, Jelena; Terzić, Svjetlana. The integral Pontrjagin homology of the based loop space on a flag manifold. Osaka J. Math., Tome 47 (2010) no. 1, pp.  439-460. http://gdmltest.u-ga.fr/item/1277298912/