6533b7d6fe1ef96bd12664a8
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Some remarks concerning Nambu mechanics
Philippe Gautheronsubject
Pure mathematicsHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyStatistical and Nonlinear PhysicsCohomologyManifoldFoliationAlgebraHigh Energy Physics::TheoryPoisson bracketTensor (intrinsic definition)Poisson manifoldNambu mechanicsMathematics::Symplectic GeometryMathematical PhysicsMathematicsPoisson algebradescription
The structure of Nambu-Poisson brackets is studied and we establish that any Nambu tensor is decomposable. We show that every Nambu-Poisson manifold admits a local foliation by canonical Nambu-Poisson manifolds. Finally, a cohomology for Nambu (Lie) algebras which is adapted to the study of formal deformations of Nambu structures is introduced.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-05-01 | Letters in Mathematical Physics |