대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제40권2호
  • /
  • Pages.281-288
  • /
  • 2003
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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MOD p HOMOLOGY OF THE DOUBLE LOOP SPACE OF THE HOMOGENEOUS SPACE SO(2n)/U(n)

  • Park, Younggi (Department of Mathematics Education, Seoul National University)
  • 발행 : 2003.05.01
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초록

We compute the mod p homology of the double loop space of 50(2n)/U(n) by the Serre spectral sequence of Hopf algebras. We also obtain the torsion information of the integral homology.

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참고문헌

  1. Ecole Norm. Sup. Paris. Demonstration homologique des theoremes de periodicite de Bott I, II, III,Seminaire Cartan et Moore 1959/1960, Exposes 16, 17, 18 H.Cartan
  2. Math. Z. v.222 Homology of the double and triple loop space of SO(n) Y.Choi https://doi.org/10.1007/BF02621858
  3. Lecture Notes in Mathematics v.533 The homology of iterated loop spaces F.R.Cohen;T.Lada;J.P.May
  4. London Mathematical Society Student Texts v.38 Harmonic maps, loop groups, and integrable systems M.A.Guest
  5. Transl. Math. Monogr. v.91 Topology of Lie groups, I and II M.Mimura;H.Toda