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Interpolations between Jordanian Twists Induced by Coboundary Twists

Borowiec, Andrzej; Meljanac, Daniel; Meljanac, Stjepan; Pachoł, Anna (2019) Interpolations between Jordanian Twists Induced by Coboundary Twists. Symmetry, Integrability and Geometry: Methods and Applications, 15 . ISSN 1815-0659

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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.

Item Type: Article
Uncontrolled Keywords: twist deformation ; Hopf algebras ; coboundary twists ; star-products ; real forms.
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Materials Physics
Theoretical Physics Division
Depositing User: Daniel Meljanac
Date Deposited: 10 Sep 2019 14:58
DOI: 10.3842/SIGMA.2019.054

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