Bi-Hamiltonian structure of Sutherland models coupled to two $\mathfrak{u}(n{)}^{\ast }$-valued spins from Poisson reduction

L. Feher

We introduce a bi-Hamiltonian hierarchy on the cotangent bundle of the real Lie group $\mathrm{GL}(n,\mathbb{C})$, and study its Poisson reduction with respect to the action of…