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

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Part of the book series: Lecture Notes in Physics ((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.

Ecole Normale Supérieure - Paris

On leave of absence from the Steklov Mathematical Institute, Leningrad - USSR Talk given at the Paris-Meudon Seminar Series.

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H. J. de Vega N. Sánchez

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© 1987 Springer-Verlag

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Semenov-Tian-Shansky, M.A. (1987). Classical r-matrices, lax equations, poisson lie groups and dressing transformations. In: de Vega, H.J., Sánchez, N. (eds) Field Theory, Quantum Gravity and Strings II. Lecture Notes in Physics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17925-9_38

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  • DOI: https://doi.org/10.1007/3-540-17925-9_38

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  • Print ISBN: 978-3-540-17925-2

  • Online ISBN: 978-3-540-47934-5

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