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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 054, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.054 (Mi sigma1490) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Interpolations between Jordanian Twists Induced by Coboundary Twists

Andrzej Borowieca, Danile Meljanacb, Stjepan Meljanacb, Anna Pachołc

a Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204 Wroclaw, Poland
b Ruder Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia
c Queen Mary, University of London, Mile End Rd., London E1 4NS, UK
Full-text PDF (514 kB) Citations (9)
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DOI: https://doi.org/10.3842/SIGMA.2019.054
Abstract: 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.
Funding agency Grant number
European Cooperation in Science and Technology Action MP1405 QSPACE
Narodowe Centrum Nauki UMO-2017/27/B/ST2/01902
This work has been supported by COST (European Cooperation in Science and Technology) Action MP1405 QSPACE. AB is supported by Polish National Science Center (NCN), project UMO-2017/27/B/ST2/01902.
Received: February 15, 2019; in final form July 11, 2019; Published online July 21, 2019
Bibliographic databases:
Document Type: Article
MSC: 81T75, 16T05, 17B37, 81R60
Language: English
Citation: Andrzej Borowiec, Danile Meljanac, Stjepan Meljanac, Anna Pachoł, “Interpolations between Jordanian Twists Induced by Coboundary Twists”, SIGMA, 15 (2019), 054, 22 pp.
Citation in format AMSBIB
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\by Andrzej~Borowiec, Danile~Meljanac, Stjepan~Meljanac, Anna~Pacho\l
\paper Interpolations between Jordanian Twists Induced by Coboundary Twists
\jour SIGMA
\yr 2019
\vol 15
\papernumber 054
\totalpages 22
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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