XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Jedrzej Sniatycki

Commutativity of quantization and reduction

I shall present a geometric quantization scheme of algebraically and singularly reduced Poisson algebras based on the quantization structure of the original symplectic manifold and apply the reults to a description of the decomposition of the quantization representation of the natural action of SU(2) on C^2 lifted to the cotangent bundle of C^2.