Covariant star-products
The author presents an elementary proof of the existence theorem for \(*\)-products on a symplectic manifold originally due to \textit{M. de Wilde} and \textit{P. B. A. Lecomte} [Lett. Math. Phys. 7, 235-241 (1983; Zbl 0514.53031)]. The exposition is also based on unpublised work by Lecomte and de Wilde. Moreover, the proof and the result are specialized to the case of the coadjoint orbit in the dual of a Lie algebra endowed with its canonical symplectic structure if this allows a maximal isotropic subspace.
scientific article; zbMATH DE number 824191
scientific article