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Letters in Mathematical Physics

, Volume 8, Issue 6, pp 467–476 | Cite as

The Poincare-Dulac theorem for nonlinear representations of nilpotent lie algebras

  • Didier Arnal
  • Mabrouk Ben Ammar
  • Georges Pinczon
Article

Abstract

The aim of this Letter is to show that the Poincare-Dulac theorem for holomorphic finite-dimensional representation, is valid for any nilpotent Lie algebrag. We reduce the classification problem of representations with a semisimple linear part satisfying the Poincaré condition to an algebraic problem. We develop a complete computation in a particular case.

Keywords

Statistical Physic Group Theory Classification Problem Linear Part Nonlinear Representation 
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

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Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • Didier Arnal
    • 1
  • Mabrouk Ben Ammar
    • 2
  • Georges Pinczon
    • 2
  1. 1.UER Sciences MathématiquesUniversité de Nancy IVandoeuvres Les Nancy CedexFrance
  2. 2.Physique MathématiqueUniversité de DijonDijon CedexFrance

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