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Classical r-matrices, lax equations, poisson lie groups and dressing transformations

  • M. A. Semenov-Tian-Shansky
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 280)

Abstract

We discuss the theory of Poisson Lie groups which provides a natural framework for the study of integrable Hamiltonian systems on a lattice and of the dressing transformations in soliton theory.

Keywords

Poisson Bracket Poisson Structure Jacobi Identity Poisson Manifold Loop Algebra 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • M. A. Semenov-Tian-Shansky
    • 1
  1. 1.Ecole Normale SupérieureParis

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