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

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

2005-12-14

arxiv.org/abs/math/0512328v2

Mathematics

Quantum Algebra

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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