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Nambu-Poisson manifolds and associated n-ary Lie algebroids

Jose A. Vallejo
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Abstract

We introduce an n-ary Lie algebroid canonically associated with a Nambu-Poisson manifold. We also prove that every Nambu-Poisson bracket defined on functions is induced by some differential operator on the exterior algebra, and characterize such operators. Some physical examples are presented.

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Jose A. Vallejo. 2001-04-27. Nambu-Poisson manifolds and associated n-ary Lie algebroids. https://doi.org/10.1088/0305-4470%2F34%2F13%2F315

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