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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106228We 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 addedQuantum AlgebraDynamical Systems81R12, 37K05Poisson Lie groups and Hamiltonian theory of the Yang-Baxter mapstext