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arxiv: hep-th/9907065 · v1 · submitted 1999-07-09 · ✦ hep-th · math.SG

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

classification ✦ hep-th math.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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