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Non-linear representations of inhomogeneous groups

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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.

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References

  1. FlatoM., PinczonG., and SimonJ., ‘Non-linear representations of Lie groups’, Ann. Scient. Ec. Norm. Sup. 10, 405–418 (1977).

    Google Scholar 

  2. GuilleminV., and SternbergS., ‘Remarks on a paper of Hermann’, Trans. Amer. Math. Soc. 130, 110–116 (1968).

    Google Scholar 

  3. KostantB., ‘Lie group representations on polynomial rings’, Amer. J. Math. 85, 327–404 (1963).

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Physique Mathématique, Faculté des Sciences Mirande, Université de Dijon, 21000, Dijon, France

    Georges Pinczon & Jacques Simon

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  1. Georges Pinczon
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  2. Jacques Simon
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Pinczon, G., Simon, J. Non-linear representations of inhomogeneous groups. Lett Math Phys 2, 499–504 (1978). https://doi.org/10.1007/BF00398503

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  • DOI: https://doi.org/10.1007/BF00398503

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