One Parameter Family of Jordanian Twists
| Autor: | Stjepan Meljanac, Rina Štrajn, Daniel Meljanac, Zoran Škoda |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
010308 nuclear & particles physics Generalization Coproduct FOS: Physical sciences Mathematical Physics (math-ph) 16. Peace & justice 01 natural sciences Noncommutative geometry noncommutative geometry Jordanian twist Simple (abstract algebra) Star product Mathematics::Quantum Algebra Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Quantum Algebra (math.QA) Geometry and Topology Twist 010306 general physics Mathematics Mathematical Physics Analysis |
| Zdroj: | Symmetry, Integrability and Geometry: Methods and Applications |
| ISSN: | 1815-0659 |
| Popis: | We propose an explicit generalization of the Jordanian twist proposed in $r$-symmetrized form by Giaquinto and Zhang. It is proved that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that our generalization coincides with the twist obtained from the simple Jordanian twist by twisting by a 1-cochain. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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