One Parameter Family of Jordanian Twists

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Meljanac, D., Meljanac, S., Škoda, Z., Štrajn, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210306
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: One Parameter Family of Jordanian Twists / D. Meljanac, S. Meljanac, Z. Škoda, R. Štrajn // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 39 назв. — англ.

We propose an explicit generalization of the Jordanian twist proposed in r-symmetrized form by Giaquinto and Zhang. It is proven that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that ou...