On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy
arXiv:2007.09658
Abstract
We report on the the trigonometric spin Ruijsenaars--Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion on the Lie group U(n). In particular, we give a direct proof of a previously stated result about the form of the second Poisson bracket in terms of convenient variables.
Contribution to the proceedings of the XXXVIII Workshop on Geometric Methods in Physics (Bialowieza, June 2019), 9 pages