On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy

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.

arXiv commentContribution to the proceedings of the XXXVIII Workshop on Geometric Methods in Physics (Bialowieza, June 2019), 9 pages

References in corpus (3)

• Integrable spin Calogero-Moser systems
• Spin Calogero models obtained from dynamical r-matrices and geodesic motion
• Poisson-Lie analogues of spin Sutherland models

Cited by in corpus (1)

• Poisson-Lie analogues of spin Sutherland models revisited