Reduction and geometric quantization
A construction is created that makes it possible to geometrically quantize a reduced Hamiltonian system using the procedure of geometric quantization realized for a Hamiltonian system with symmetries (i.e., to find the discrete spectrum and the corresponding eigenfunctions, if these have been found for the initial system). The construction is used to geometrically quantize a system obtained by reduction of a Hamiltonian system that determines the geodesic flow on an $n$-dimensional sphere.
English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 9, pp 1116-1122.
Citation Example: Mikityuk I. V., Prykarpatsky A. K. Reduction and geometric quantization // Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1220–1228.