Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps

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We show how the theory of Poisson Lie groups can be used to establish the Poisson properties of the Yang-Baxter maps and related transfer dynamics. As an example we present the Hamiltonian structure for the matrix KdV soliton interaction.
9 pages. Slightly revised version, two references added

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Quantum Algebra, Dynamical Systems, 81R12, 37K05

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http://salesiana.dossiersoluciones.com/handle/123456789/106228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512328
 http://arxiv.org/abs/math/0512328

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arXiv