manuscripta mathematica

, Volume 103, Issue 1, pp 101–116 | Cite as

Homology of the double and the triple loop spaces¶of E6, E7, and E8

  • Younggi Choi
  • Seonhee Yoon
Article
First Online:

Abstract:

We study the mod p homology of the double and the triple loop spaces of exceptional Lie groups E6, E7, and E8 through the Eilenberg–Moore spectral sequence and the Serre spectral sequence using homology operations. The Bockstein actions on them are also determined. As a result, the Eilenberg–Moore spectral sequences of the path loop fibrations converging to H*(Ω2G;? p ) and H*(Ω3G;? p ) collapse at the E2-term for any compact simple Lie group G.

Keywords

Hopf Algebra Spectral Sequence Loop Space Primitive Element Serre Spectral Sequence 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Younggi Choi
    • 1
  • Seonhee Yoon
    • 2
  1. 1.Department of Mathematics Education, Seoul National University, Seoul 151-742, Korea.¶e-mail: yochoi@plaza.snu.ac.krKorea
  2. 2.Global Analysis Research Center, Seoul National University, Seoul 151-742, Korea. e-mail: shyoon@math.snu.ac.krKorea

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