Interpolations between Jordanian Twists Induced by Coboundary Twists

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dc.contributor.authorBorowiec, A.
dc.contributor.authorMeljanac, D.
dc.contributor.authorMeljanac, S.
dc.contributor.authorPachoł, A.
dc.date.accessioned2025-12-04T13:09:22Z
dc.date.issued2019
dc.description.abstractWe 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 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 of noncommutative coordinates. Real forms of new Jordanian deformations are also discussed. Exponential formulae, used to obtain coproducts and star products, are presented with details.
dc.description.sponsorshipThis work has been supported by COST (European Cooperation in Science and Technology) Action MP1405 QSPACE. AB is supported by the Polish National Science Center (NCN), project UMO-2017/27/B/ST2/01902. We are grateful to Zoran Škoda for his comments. We would like to thank the referees for their constructive input.
dc.identifier.citationInterpolations between Jordanian Twists Induced by Coboundary Twists / A. Borowiec, D. Meljanac. S. Meljanac, A. Pachoł // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 55 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.054
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81T75; 16T05; 17B37; 81R60
dc.identifier.otherarXiv: 1812.05535
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210241
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleInterpolations between Jordanian Twists Induced by Coboundary Twists
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік