Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
Abstract
We prove the existence of star-products and of formal deformations of the Poisson Lie algebra of an arbitrary symplectic manifold. Moreover, all the obstructions encountered in the step-wise construction of formal deformations are vanishing.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- November 1983
- DOI:
- Bibcode:
- 1983LMaPh...7..487D
- Keywords:
-
- Manifold;
- Statistical Physic;
- Group Theory;
- Symplectic Manifold;
- Formal Deformation