## Projective representations of compact quantum groups and quantizations of non-compact Lie groups Vrije Universiteit Brussel

A group is an abstraction of the notion of symmetry. A representation of a group is a concrete realization of that group as symmetries of some mathematical object. For example, for real compact simple Lie groups such as the group of rotations of the sphere, the linear representations have been known for a long time. These are important in many geometrical applications, as well as for the theory of special functions. More recently, quantum ...