0000000000280551

AUTHOR

Philippe Gautheron

showing 2 related works from this author

Some remarks concerning Nambu mechanics

1996

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.

Pure mathematicsHigh Energy Physics::LatticeNuclear TheoryHigh Energy Physics::PhenomenologyStatistical and Nonlinear PhysicsCohomologyManifoldFoliationAlgebraHigh Energy Physics::TheoryPoisson bracketTensor (intrinsic definition)Poisson manifoldNambu mechanicsMathematics::Symplectic GeometryMathematical PhysicsMathematicsPoisson algebraLetters in Mathematical Physics
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Simple Facts Concerning Nambu Algebras

1998

A class of substitution equations arising in the extension of Jacobi identity for $n$-gebras is studied and solved. Graded bracket and cohomology adapted to the study of formal deformations are presented. New identities in the case of Nambu-Lie algebras are proved. The triviality in the Gerstenhaber sense of certain deformed n-skew-symmetric brackets, satisfying the Leibniz rule with respect to a star-product, is shown for n≥ 3.

Jacobi identityClass (set theory)CommutatorSubstitution (algebra)Statistical and Nonlinear PhysicsTrivialityCohomologyAlgebrasymbols.namesakeLeibniz integral ruleSimple (abstract algebra)symbolsMathematical PhysicsMathematicsCommunications in Mathematical Physics
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