Nambu-Poisson manifolds and associated n-ary Lie algebroids

Details Nambu-Poisson manifolds and associated n-ary Lie algebroids Nambu-Poisson manifolds and associated n-ary Lie algebroids

2001-04-27

arxiv.org/abs/math-ph/0104040v1

J. Phys. A: Math. Gen. 34 (2001) 2867-2881

Physics

Mathematical Physics

Scientific paper

10.1088/0305-4470/34/13/315

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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