Homology of the double loop space of the homogeneous space SU(n)/SO(n)
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We study the mod 2 homology of the double loop space of SU(n)/SO(n) using the Serre spectral sequence along with the Eilenberg–Moore spectral sequence. Then we also get the homology of the double loop space of the set of all Lagrangian subspaces of the symplectic vector space R2n.
KeywordsVector Space Homogeneous Space Spectral Sequence Loop Space Double Loop
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