LIFTS OF SYMPLECTIC DIFFEOMORPHISMS AS AUTOMORPHISMS OF A WEYL ALGEBRA BUNDLE WITH FEDOSOV CONNECTION

DOI10.1142/S021988780700217XzbMath1143.58001MaRDI QIDQ3502961

Naoya Miyazaki

Publication date: 20 May 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

infinite-dimensional Lie groupcharacteristic formregular Frechét group

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (1)

The group of Hamiltonian automorphisms of a star product

Cites Work

• Unnamed Item
• Weyl manifolds and deformation quantization
• On regular Frechet-Lie groups. IV: Definition and fundamental theorems
• A Lie group structure for pseudodifferential operators
• A Lie group structure for Fourier integral operators
• Deformation theory and quantization. I: Deformations of symplectic structures
• A simple geometrical construction of deformation quantization
• Lie groups of Fourier integral operators on open manifolds.
• Deformation quantization of Poisson manifolds
• On a differential structure for the group of diffeomorphisms
• Fourier integral operators. I
• Automorphisms of the Weyl algebra.

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