Modular Structures in Geometric Quantization

Gérard G. Emch
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Gérard G. Emch: University of Florida, Department of Mathematics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 33-42 from Springer

Abstract: Abstract The purpose of this lecture is to show how certain modular structures, borrowed from the theory of von Neumann algebras, can be exploited to extract primary representations (prequantization) and irreducible representations (quantization) from the regular representation of the symmetry group of the physical systems to be considered. The emphasis is on presenting specific examples for which the solution is exhibited explicitly.

Keywords: Irreducible Representation; Direct Summand; Modular Structure; Regular Representation; Geometric Quantization (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_4

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DOI: 10.1007/978-1-4899-1060-8_4

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