Search results for "Jacobi identity"

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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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