Two results on a class of Poisson structures on Lie groups
We investigate the Hamiltonian character of the monodromy map with respect to a class of Poisson structures on Lie groups. Under suitable assumptions on the \(r\)-matrix, we also show that the Lie group \(G\) equipped with an associated Sklyanin bracket is globally Poisson diffeomorphic to a Poisson submanifold of \(G^ 2\) equipped with a so- called twisted structure.
scientific article; zbMATH DE number 126388
scientific article