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Letters in Mathematical Physics

, Volume 2, Issue 6, pp 499–504 | Cite as

Non-linear representations of inhomogeneous groups

  • Georges Pinczon
  • Jacques Simon
Article

Abstract

We classify the analytic actions, having a fixed point, of the classical inhomogeneous groups, such that the linear part of this action restricted to a Levi factor is the natural action defining this Levi factor as a classical simple group.

Keywords

Statistical Physic Analytic Action Group Theory Simple Group Linear Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    FlatoM., PinczonG., and SimonJ., ‘Non-linear representations of Lie groups’, Ann. Scient. Ec. Norm. Sup. 10, 405–418 (1977).Google Scholar
  2. 2.
    GuilleminV., and SternbergS., ‘Remarks on a paper of Hermann’, Trans. Amer. Math. Soc. 130, 110–116 (1968).Google Scholar
  3. 3.
    KostantB., ‘Lie group representations on polynomial rings’, Amer. J. Math. 85, 327–404 (1963).Google Scholar

Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • Georges Pinczon
    • 1
  • Jacques Simon
    • 1
  1. 1.Laboratoire de Physique Mathématique, Faculté des Sciences MirandeUniversité de DijonDijonFrance

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