Stratified Superintegrability of Spin Calogero-Moser-Sutherland Systems

Guorui Ma, Junze Zhang

We study the Poisson chain of the compact spin Calogero-Moser-Sutherland system obtained by conjugation reduction of $T^{\ast }\mathrm{SU}(n)$ at a fixed coadjoint orbit. We give a Horn-…