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Interpolations between Jordanian Twists Induced by Coboundary Twists
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: twist deformation, Hopf algebras, coboundary twists, star-products, real forms. 
@article{SIGMA_2019_15_a53,
     author = {Andrzej Borowiec and Danile Meljanac and Stjepan Meljanac and Anna Pacho{\l}},
     title = {Interpolations between {Jordanian} {Twists} {Induced} by {Coboundary} {Twists}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2019},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a53/}
}
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Andrzej Borowiec; Danile Meljanac; Stjepan Meljanac; Anna Pachoł. Interpolations between Jordanian Twists Induced by Coboundary Twists. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a53/

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