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A New Look at the Schouten-Nijenhuis, Fr\"olicher-Nijenhuis and Nijenhuis-Richardson Brackets for Symplectic Spaces

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arxiv hep-th/9907065 v1 pith:7OASE47Q submitted 1999-07-09 hep-th math.SG

E.Gozzi , D.Mauro This is my paper
classification hep-thmath.SG
keywords bracketsnijenhuis-richardsonolicher-nijenhuisschouten-nijenhuissymplecticclassicalextendedformulation
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In this paper we re-express the Schouten-Nijenhuis, the Fr\"olicher-Nijenhuis and the Nijenhuis-Richardson brackets on a symplectic space using the extended Poisson brackets structure present in the path-integral formulation of classical mechanics.

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  1. The History of Hilbert-Space Formulations of Classical Physics

    physics.hist-ph 2026-07 conditional novelty 6.0 of 10

    Classical wave functions with ρ = |ψ|² were introduced after Koopman and von Neumann, probably by Schönberg, so calling them 'KvN waves' is a misattribution.

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