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Ternutator identities
- 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.
| Author details: | Chandrashekar Devchand, David Fairlie, Jean Nuyts, Gregor Weingart |
|---|---|
| URL: | http://iopscience.iop.org/1751-8121/ |
| DOI: | https://doi.org/10.1088/1751-8113/42/47/475209 |
| ISSN: | 1751-8113 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2009 |
| Publication year: | 2009 |
| Release date: | 2017/03/24 |
| Source: | Journal of physics A : mathematical and theoretical. - ISSN 1751-8113. - 42 (2009), 47, Art. 475209 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
