par Gutt, Simone 
;Rawnsley, John
Référence letters in mathematical physics, 66, 1-2, page (123-139)
Publication Publié, 2003-10
;Rawnsley, JohnRéférence letters in mathematical physics, 66, 1-2, page (123-139)
Publication Publié, 2003-10
Article révisé par les pairs
| Résumé : | We define a natural class of star products: those which are given by a series of bidifferential operators which at order k in the deformation parameter have at most k derivatives in each argument. This class includes all the standard constructions of differential star products. We show that any such star product on a symplectic manifold defines a unique symplectic connection. We parametrise such star products, study their invariance properties and give necessary and sufficient conditions for them to have a quantum moment map. We show that Kravchenko's sufficient condition for a moment map for a Fedosov star product is also necessary. |
