Published November 27, 2009
| Version v1
Journal article
Ternutator identities
- 1. Institut fuer Mathematik der Universitaet Potsdam, Am Neuen Palais 10, D-14469 Potsdam (Germany)
- 2. Department of Mathematical Sciences, University of Durham, Science Laboratories, South Rd, Durham DH1 3LE (United Kingdom)
- 3. Physique Theorique et Mathematique, Universite de Mons-Hainaut, 20 Place du Parc, B-7000 Mons (Belgium)
- 4. Instituto de Matematicas, Universidad Nacional Autonoma de Mexico, 62210 Cuernavaca, Morelos (Mexico)
Description
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.
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/42/47/475209Additional details
Identifiers
- DOI
- 10.1088/1751-8113/42/47/475209;
- PII
- S1751-8113(09)29525-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 42
- Journal Issue
- 47
- Journal Page Range
- [8 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41054105
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; COMMUTATORS; JACOBIAN FUNCTION
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS