Abstract
We present a simple alternative to Mackey's account of the (infinite) inequivalent quantizations possible on a coset space G/H. Our reformulation is based on the reduction G→G/H and employs a generalized form of Dirac's approach to the quantization of onstrained systems. When applied to the four-sphere S 4≌Spin(5)/Spin(4), the inequivalent quantizations induce relativistic spin and a background BPST instanton; thus they might provide a natural account of both of these physical entities.
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