| Title | Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras |
| Authors | F. Ammar, A. Makhlouf, Sergei Silvestrov |
| Alternative Location | http://dx.doi.org/10.1088/1..., Restricted Access |
| Publication | Journal of Physics A: Mathematical and Theoretical |
| Year | 2010 |
| Volume | 43 |
| Issue | 26 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | IOP Publishing |
| Abstract English | In this paper we construct ternary q-Virasoro-Witt algebras which q-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1, 1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary q-Virasoro-Witt algebras constructed in this paper are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield a Hom-Nambu-Lie algebra structure for q-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary q-Virasoro-Witt algebras we construct, carry a structure of the ternary Hom-Nambu-Lie algebra for all values of the involved parameters. |
| ISBN/ISSN/Other | ISSN: 1751-8113 |
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