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arXiv · 0908.1738

Ternutator Identities

Chandrashekar Devchand·David Fairlie·Jean Nuyts·Gregor Weingart
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Abstract

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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Chandrashekar Devchand, David Fairlie, Jean Nuyts, Gregor Weingart. 2009-08-27. Ternutator Identities. https://doi.org/10.1088/1751-8113%2F42%2F47%2F475209

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