6533b829fe1ef96bd128a279
RESEARCH PRODUCT
Simple Facts Concerning Nambu Algebras
Philippe Gautheronsubject
Jacobi identityClass (set theory)CommutatorSubstitution (algebra)Statistical and Nonlinear PhysicsTrivialityCohomologyAlgebrasymbols.namesakeLeibniz integral ruleSimple (abstract algebra)symbolsMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-07-01 | Communications in Mathematical Physics |