Chandrashekar Devchand et al 2009 J. Phys. A: Math. Theor. 42 475209 doi:10.1088/1751-8113/42/47/475209
Chandrashekar Devchand1, David Fairlie2, Jean Nuyts3 and Gregor Weingart4
Show affiliationsThe 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.
47B47 Commutators, derivations, elementary operators, etc.
17B66 Lie algebras of vector fields and related (super) algebras
05A05 Combinatorial choice problems (subsets, representatives, permutations)
Issue 47 (27 November 2009)
Received 27 August 2009, in final form 7 October 2009
Published 6 November 2009
Chandrashekar Devchand et al 2009 J. Phys. A: Math. Theor. 42 475209
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