Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps
Nicolai Reshetikhin, Alexander Veselov
math.QAarXiv:math/0512328
Abstract
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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