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- W2108384146 abstract "Abstract Let (M,F) be a symplectic manifold and consider a Lie subalgebra G of its Lie algebra of symplectic vector fields. We prove that every one-differentiable deformation of order k of the Poisson Lie algebra of M, which is invariant with respect to G , extends to an invariant one-differentiable deformation of infinite order. If M admits a G -invariant linear connection, a similar result holds true for differentiable deformations and for star-products. In particular, if M admits a G - -invariant linear connection, there always exists a G -invariant star-product." @default.
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- W2108384146 date "1985-01-01" @default.
- W2108384146 modified "2023-09-24" @default.
- W2108384146 title "Invariant star-products on symplectic manifolds" @default.
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- W2108384146 doi "https://doi.org/10.1016/0393-0440(85)90022-1" @default.
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