DOI QR코드

DOI QR Code

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)
  • Published : 2003.05.01

Abstract

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.

Keywords

References

  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