Poisson structures on the cotangent bundle of a Lie group or a principal bundle and their reductions

Dmitri V. Alekseevsky, Janusz Grabowski, Giuseppe Marmo +1

On a cotangent bundle $T\sp*G$ of a Lie group $G$ one can describe the standard Liouville form $\theta$ and the symplectic form $d\theta$ in terms of the right Maurer Cartan form and the le…