TY - JOUR A1 - Devchand, Chandrashekar A1 - Fairlie, David A1 - Nuyts, Jean A1 - Weingart, Gregor T1 - Ternutator identities N2 - The ternary commutator or ternutator, defined as the alternating sum of the product of three operators, has recently drawn much attention as an interesting structure generalizing the commutator. The ternutator satisfies cubic identities analogous to the quadratic Jacobi identity for the commutator. We present various forms of these identities and discuss the possibility of using them to define ternary algebras. Y1 - 2009 UR - http://iopscience.iop.org/1751-8121/ U6 - https://doi.org/10.1088/1751-8113/42/47/475209 SN - 1751-8113 ER -