Interpolations between Jordanian Twists Induced by Coboundary Twists
| Autor: | Stjepan Meljanac, Daniel Meljanac, Andrzej Borowiec, Anna Pachoł |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
twist deformation
Hopf algebras coboundary twists star-products real forms 010308 nuclear & particles physics Physics FOS: Physical sciences Mathematical Physics (math-ph) Star (graph theory) Type (model theory) Hopf algebra 01 natural sciences Noncommutative geometry Algebra Star product Simple (abstract algebra) Mathematics::Quantum Algebra Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) Geometry and Topology Twist 010306 general physics Realization (systems) Mathematical Physics Analysis Mathematics |
| Zdroj: | Symmetry, Integrability and Geometry: Methods and Applications |
| ISSN: | 1815-0659 |
| DOI: | 10.3842/sigma.2019.054 |
| Popis: | We propose a new generalisation of the Jordanian twist (building on the previous idea from [Meljanac S., Meljanac D., Pachol A., Pikutic 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. the final (journal; extended and revised) version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|