Geometric quantization on a coset space G/H
نویسنده
چکیده
Geometric quantization on a coset space G/H is considered, intending to recover Mackey’s inequivalent quantizations. It is found that the inequivalent quantizations can be obtained by adopting the symplectic 2-form which leads to Wong’s equation. The irreducible representations of H which label the inequivalent quantizations arise from Weil’s theorem, which ensures a Hermitian bundle over G/H to exist.
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