Interpolations between Jordanian Twists Induced by Coboundary Twists
Mathematical Physics
2019-07-25 v3 math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1812.05535,
title = {Interpolations between Jordanian Twists Induced by Coboundary Twists},
author = {Andrzej Borowiec and Daniel Meljanac and Stjepan Meljanac and Anna Pachol},
journal= {arXiv preprint arXiv:1812.05535},
year = {2019}
}
Comments
the final (journal; extended and revised) version