Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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HOMOLOGY OF THE DOUBLE LOOP SPACE OF THE HOMOGENEOUS SPACE SP(n)/u(n)

  • Choi, Young-Gi (Department of Mathematics Education, Seoul National University)
  • Published : 1999.11.01
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Abstract

We compute the mod p homology of the double loop space of Sp(n)/U(n) by the Serre spectral sequence and the Eilenberg-Moore spectral sequence with the homology operations.

Keywords

References

  1. Seminaire Cartan et Moore 1959/1960 Demonstration homologique des theoremes de periodicite de Bott Ⅱ H. Cartan
  2. Ann. Math. v.74 On the homopoty groups of the classical groups B. Harris
  3. Trans. Math. Monographs;Amer. Math. Soc. v.91 Topology of Lie groups,Ⅰ and Ⅱ M. Mimura;H. Toda
  4. Forum Math. v.5 The homology and Morava K-theories of Ω²SU(n) D. C. Ravenel