A global version of quantum duality principle for homogeneous spaces

lecturer: prof. Nicola Ciccoli

Abstract: I will report some joint work with F. Gavarini on a quantum duality principle for coisotropic subgroups of a  Poisson group and its dual. Starting from a Poisson coisotropic subgroup (and a quantization of the Poisson group containing it) we will identify its "Poisson dual" object and provide functorial recipes to produce its quantizations . Some examples will be discussed together with possible application to the classification of irreps at roots of unity.