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RESEARCH PRODUCT
Nambu-Poisson manifolds and associated n-ary Lie algebroids
José A. Vallejosubject
Lie algebroidPure mathematicsHigh Energy Physics::PhenomenologyGeneral Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Poisson distributionDifferential operatorManifoldsymbols.namesakeBracket (mathematics)symbolsExterior algebraMathematics::Symplectic GeometryMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-04-27 |