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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 28th 2015
    • (edited May 28th 2015)

    added to Poisson manifold a subsection

    which states the form of the Poisson bracket on presymplectic manifolds and then discusses how this is isomorphic as a Lie algebra to the infinitesimal quantomorphisms, the infinitesimal symmetries of any prequantization of the presymplectic manifold.

    I have written that as one subsection for the exposition at geometry of physics – prequantum geometry, but I suppose it serves well to have it right there in the entry on Poisson brackets itsef, too.

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 20th 2023


    The original reference is

    • André Lichnerowicz, Les variétés de Poisson et leurs algèbres de Lie associées, Journal of Differential Geometry 12:2 (1977), 253–300. doi.

    diff, v36, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 4th 2023

    added pointer to:

    diff, v39, current