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What is known about lifting n Poisson commuting functions on a 2n-dimensional symplectic manifolds (say R^2n) to Moyal-Weyl commuting functions?

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  • $\begingroup$ I have replaced the two tags (integrable) and (systems) by the tag (integrable-systems). Maybe you wanted to created a tag called (defomration-quantization) rather than two separate tags (deformation) and (quantization)? (Since we're talking about tags, it might be worth mentioning that the question has no top-level tag.) $\endgroup$
    – Martin Sleziak
    Commented Apr 16, 2023 at 4:32

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