Description
Abstract: Geometric quantization intends to construct the quantum system (a Hilbert space and self-adjoint operators on it) out of a classical mechanical system (a symplectic manifold as the phase space and functions on it as physical observables). Although several well known no-go results show the limitations of this process, up till now this is the only method that (in lucky situations) does produce an actual Hilbert space and operators thereon. In the lecture we shall discuss what can be done when the phase space is the cotangent bundle of a compact Lie group or more generally of a compact Riemannian symmetric space.