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arxiv: math/0609727 · v2 · submitted 2006-09-26 · 🧮 math.DG · math-ph· math.MP

Geometric Quantization of Algebraic Reduction

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keywords quantizationreductionalgebraicgeometricobtainedalgebrasanalogueapplication
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An analogue of geometric quantization of Poisson algebras obtained by algebraic reduction of symmetries is developed. Interpretation of the obtained results and their application to the problem of commutativity of quantization and reduction are given

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