Existence of star-products on exact symplectic manifolds (Q791956)
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scientific article; zbMATH DE number 3852086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of star-products on exact symplectic manifolds |
scientific article; zbMATH DE number 3852086 |
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Existence of star-products on exact symplectic manifolds (English)
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1984
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It is shown that if a manifold admits an exact symplectic form, then its Poisson Lie algebra has non trivial formal deformations and the manifold admits star-products. The non-formal derivations of the star-products and the deformations of the Poisson Lie algebra of an arbitrary symplectic manifold are studied.
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Chevalley cohomology
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Hochschild cohomology
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Poisson Lie algebra
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