Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps
Quantum Algebra
2007-05-23 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.math/0512328,
title = {Poisson Lie groups and Hamiltonian theory of the Yang-Baxter maps},
author = {Nicolai Reshetikhin and Alexander Veselov},
journal= {arXiv preprint arXiv:math/0512328},
year = {2007}
}
Comments
9 pages. Slightly revised version, two references added