Quantization and the method of orbits
type: Item
instance of: scholarly article
title: Quantization and the method of orbits
zbMATH Open document ID: 0616.58019
DOI: 10.1007/BF01085503
author: V. A. Ginzburg
published in: Journal of Soviet Mathematics
publication date: 1987-01-01T00:00:00Z
review text: A survey is given of the method of orbits which makes it possible to construct irreducible unitary representations of an arbitrary Lie group proceeding from mechanical considerations. After a brief introduction to symplectic geometry, a construction of a representation associated with an orbit of a group in the dual space of its Lie algebra is given. Various generalizations of this construction are discussed.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3998819
zbMATH Keywords: irreducible unitary representations
zbMATH Keywords: Lie group
zbMATH Keywords: symplectic geometry
zbMATH Keywords: Lie algebra
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01085503
OpenAlex ID: W2031612415
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description: scientific article; zbMATH DE number 3998819