Covariant star-products
Copyright policy )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.
Geometric quantization, symplectic manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), deformation, Quantum groups (quantized enveloping algebras) and related deformations, quantization, star-product
Geometric quantization, symplectic manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), deformation, Quantum groups (quantized enveloping algebras) and related deformations, quantization, star-product
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