Ternutator Identities

Details Ternutator Identities Ternutator Identities

2009-08-12

arxiv.org/abs/0908.1738v2

J.Phys.A42:475209,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, citation added

Scientific paper

10.1088/1751-8113/42/47/475209

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 generalising 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.

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