Weyl manifolds and deformation quantization
type: Item
instance of: scholarly article
title: Weyl manifolds and deformation quantization
zbMATH Open document ID: 0734.58011
DOI: 10.1016/0001-8708(91)90057-E
author: Hideki Omori
author: Yoshiaki Maeda
author: Akira Yoshioka
published in: Advances in Mathematics
publication date: 1991-01-01T00:00:00Z
review text: This paper deals with non-commutative objects based on the Weyl algebra from a differential geometric viewpoint. The main result of this paper is the statement that over any symplectic manifold there exists a Weyl manifold. This theorem then leads to the further result that any symplectic manifold is deformation quantizable.
reviewed by: A. P. Stone
Mathematics Subject Classification ID: 46L85
Mathematics Subject Classification ID: 46L87
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 4214972
zbMATH Keywords: deformation quantization
zbMATH Keywords: symplectic manifold
zbMATH Keywords: Weyl manifold
MaRDI profile type: Publication
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full work available at URL: 0001-8708(91)90057-e
OpenAlex ID: W2094008310
description: scientific article; zbMATH DE number 4214972