DESCRIPTION OF QUANTUM SPIN USING FUNCTIONS ON THE SPHERE J2

An overview of isomorphic correspondences between spin algebra and algebras of functions on the sphere is given. In addition, we show that in one case the induced product between the spin function and another function is expressible by the action of a first-order diffential operator correcting the ordinary product. This deformation leads to the geometric quantization of classical spin. The classical limit is studied for a class of correspondences.