On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov
type: Item
instance of: scholarly article
title: On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov
zbMATH Open document ID: 0939.53043
DOI: 10.1007/BF02169285
author: Anastasios Mallios
published in: Journal of Mathematical Sciences (New York)
publication date: 2000-01-25T00:00:00Z
review text: The paper contains an interesting formulation of the basic constructions of geometric quantization [\textit{M. Puta}, ``Hamiltonian mechanical systems and geometric quantization'' (Math. Appl. 260, Kluwer, Dordrecht) (1993; Zbl 0795.70001)] in the framework of vector sheaves, a concept fully detailed in the author's book [``Geometry of vector sheaves'' (Math. Appl. 439, Kluwer, Dordrecht) (1998; Zbl 0904.18001 and Zbl 0904.18002)].
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81S10
zbMATH DE Number: 1393014
zbMATH Keywords: algebraized space
zbMATH Keywords: vector sheaf
zbMATH Keywords: sheaf cohomology
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02169285
OpenAlex ID: W2044324717
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description: scientific article; zbMATH DE number 1393014