Multi-operator brackets acting thrice

Abstract

We generalize an identity, first found by Bremner, for the action of three nested Nambu brackets.

Added references and detailed proof of main result, conforming to journal version

References in corpus (7)

• On Foundation of the Generalized Nambu Mechanics
• Introduction to sh Lie algebras for physicists
• Classical and Quantum Nambu Mechanics
• Higher-order simple Lie algebras
• A Survey on Nambu-Poisson Brackets
• Classical and Quantal Ternary Algebras
• Ternutator Identities

Cited by in corpus (7)

• n-ary algebras: a review with applications
• Ternutator Identities
• The partially alternating ternary sum in an associative dialgebra
• $W_{1+\infty }$ constraints for the hermitian one-matrix model
• Higher identities for the ternary commutator
• Necessary conditions for Ternary Algebras
• Alternating quaternary algebra structures on irreducible representations of sl(2,C)