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Article (Scientific journals)
The group of Hamiltonian automorphisms of a star product
La Fuente-Gravy, Laurent
2016 • In Mathematical Physics, Analysis and Geometry, 19 (3)
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https://hdl.handle.net/10993/37310
DOI
10.1007/s11040-016-9221-1
 

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Keywords :
deformation quantization; automorphism of star products; Flux morphisms; Hamiltonian automorphisms
Disciplines :
Mathematics
Author, co-author :
La Fuente-Gravy, Laurent ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
The group of Hamiltonian automorphisms of a star product
Publication date :
2016
Journal title :
Mathematical Physics, Analysis and Geometry
ISSN :
1572-9656
Publisher :
Kluwer Academic Publishers, Dordrecht, Netherlands
Volume :
19
Issue :
3
Peer reviewed :
Peer Reviewed verified by ORBi
Commentary :
We deform the group of Hamiltonian diffeomorphisms into a group of Hamiltonian automorphisms, Ham(M, ∗), of a formal star product ∗ on a symplectic manifold (M, ω). We study the geometry of that group and deform the Flux morphism in the framework of deformation quantization.
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