Room P3.10, Mathematics Building

Yvette Kosmann-Schwarzbach, École Polytechnique
Quasi-Poisson actions

We first introduce quasi-Poisson actions and their momentum maps, which take values in homogeneous spaces. We then show that Poisson actions of Poisson Lie groups (when the Manin pair under consideration is in fact a Manin triple) and the Hamiltonian actions with group-valued momentum maps (when the Manin pair has vanishing cobracket) are special cases of this construction.