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Explicit form and convergence of 1-differential formal deformations of the poisson Lie algebra

✍ Scribed by P. B. A. Lecomte; D. Melotte; C. Roger


Publisher
Springer
Year
1989
Tongue
English
Weight
498 KB
Volume
18
Category
Article
ISSN
0377-9017

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Existence of star-products and of formal
✍ Marc Wilde; Pierre B. A. Lecomte πŸ“‚ Article πŸ“… 1983 πŸ› Springer 🌐 English βš– 401 KB

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.