Borowiec, Andrzej; Meljanac, Daniel; Meljanac, Stjepan; Pachoł, Anna (2019) Interpolations between Jordanian Twists Induced by Coboundary Twists. Symmetry, Integrability and Geometry: Methods and Applications, 15 . ISSN 1815-0659
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Abstract
We propose a new generalisation of the Jordanian twist (building on the previous idea from [Meljanac S., Meljanac D., Pachoł A., Pikutić D., J. Phys. A: Math. Theor. 50 (2017), 265201, 11 pages]). Obtained this way, the family of the Jordanian twists allows for interpolation between two simple Jordanian twists. This new version of the twist provides an example of a new type of star product and the realization for noncommutative coordinates. Real forms of new Jordanian deformations are also discussed. Exponential formulae, used to obtain coproducts and star products, are presented with details.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | twist deformation ; Hopf algebras ; coboundary twists ; star-products ; real forms. |
| Subjects: | NATURAL SCIENCES > Physics |
| Divisions: | Division of Materials Physics Theoretical Physics Division |
| Depositing User: | Daniel Meljanac |
| Date Deposited: | 10 Sep 2019 14:58 |
| URI: | http://fulir.irb.hr/id/eprint/5001 |
| DOI: | 10.3842/SIGMA.2019.054 |
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