Nambu-Poisson manifolds and associated n-ary Lie algebroids
نویسنده
چکیده
We introduce an n-ary Lie algebroid canonically associated to a NambuPoisson 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.
منابع مشابه
Non-antisymmetric versions of Nambu-Poisson and Lie algebroid brackets
We show that we can skip the skew-symmetry assumption in the definition of Nambu-Poisson brackets. In other words, a n-ary bracket on the algebra of smooth functions which satisfies the Leibniz rule and a n-ary version of the Jacobi identity must be skew-symmetric. A similar result holds for a non-antisymmetric version of Lie algebroids.
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