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Regular conjugate classes in some groups of flows

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Abstract

This paper investigates the structure of the set of the so-called regular conjugate classes in the group of mappings of a paracompact Hausdorff space into a connected simply connected compact Lie group. The paper establishes the existence of two parameters, one continuous and the other discrete, which together completely determine this set. In the special case when the Lie group is taken to be the group SU(2) the problem is of interest for physics and was proposed by L. D. Faddeev.

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Literature cited

  1. J. F. Adams, Lectures on Lie Groups, W. A. Benjamin, New York (1969).

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  2. D. H'yuzmoller, Stratified Spaces [in Russian], Mir, Moscow (1970).

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  3. S. Helgason, Differential Geometry and Symmetric Spaces [in Russian], Mir, Moscow (1964).

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  4. Sze-Tzen Hu, Homotopy Theory [in Russian], Mir, Moscow (1964).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    I. A. Kostrikin

Authors
  1. I. A. Kostrikin
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Additional information

Translated from Matematicheskie Zametki, Vol. 18, No. 4, pp. 597–600, October, 1975.

In conclusion, the author wishes to thank A. A. Kirillov for his assistance in this work.

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Kostrikin, I.A. Regular conjugate classes in some groups of flows. Mathematical Notes of the Academy of Sciences of the USSR 18, 943–945 (1975). https://doi.org/10.1007/BF01153049

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  • DOI: https://doi.org/10.1007/BF01153049

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