Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds

Author:

de Wilde Marc,Lecomte Pierre B. A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference10 articles.

1. ArnalD., CortetJ.C., FlatoM., and SternheimerD., ?Star-Products: Quantization and Representation Without Operators?, in E.Tirapegui (ed.), Field Theory Quantization and Statistical Physics, Reidel, Dordrecht, 1981, pp. 85?111.

2. CahenM. and GuttS., Lett. Math. Phys. 6, 395?404 (1982).

3. De Wilde, M., Gutt, S., and Lecomte, P., ?A propos des deuxième et troisième espaces de cohomologie de l'algèbre de Lie de Poisson d'une variété symplectique?, Ann. Inst. Poincaré, to appear.

4. DeWildeM. and LecomteP., Lett. Math. Phys. 7, 235?241 (1983).

5. De Wilde, M. and Lecomte, P., ?Existence of Star-Products on Exact Symplectic Manifolds?, to appear.

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