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

Mathematics – Quantum Algebra

Scientific paper

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9 pages. Slightly revised version, two references added

Scientific paper

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.

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