The basic elements of the geometric approach to a consistent quantization formalism are summarized, with reference to the methods of the old quantum mechanics and the induced representations theory of Lie groups. A possible relationship between quantization and phase-space discretization is briefly discussed.
Marius Grigorescu. "Geometrical Framework of Quantization Problem." J. Geom. Symmetry Phys. 23 1 - 27, 2011. https://doi.org/10.7546/jgsp-23-2011-1-27