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The homotopy types of compact lie groups

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Abstract

Hans Scheerer proved that if two simply connected compact Lie groups are homotopically equivalent, then the groups are isomorphic. We give a conceptually simpler proof which shows that the result depends only on the 2 and 3 primary homotopy of the Lie groups.

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Authors and Affiliations

  1. Department of Mathematics, University of Aberdeen, Aberdeen, Scotland, UK

    J. R. Hubbuck

  2. Department of Mathematics, University of Western Ontario, London, Ontario, Canada

    R. M. Kane

Authors
  1. J. R. Hubbuck
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  2. R. M. Kane
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Hubbuck, J.R., Kane, R.M. The homotopy types of compact lie groups. Israel J. Math. 51, 20–26 (1985). https://doi.org/10.1007/BF02772955

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  • DOI: https://doi.org/10.1007/BF02772955

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