Interpolations between Jordanian Twists Induced by Coboundary Twists
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 Jordanian twists allows for interpolation between two simple Jordanian...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210241 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Interpolations 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715010093940736 |
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| author | Borowiec, A. Meljanac, D. Meljanac, S. Pachoł, A. |
| author_facet | Borowiec, A. Meljanac, D. Meljanac, S. Pachoł, A. |
| citation_txt | Interpolations 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 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.
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| first_indexed | 2025-12-07T21:24:52Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-210241 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:52Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Borowiec, A. Meljanac, D. Meljanac, S. Pachoł, A. 2025-12-04T13:09:22Z 2019 Interpolations 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. 1815-0659 2010 Mathematics Subject Classification: 81T75; 16T05; 17B37; 81R60 arXiv: 1812.05535 https://nasplib.isofts.kiev.ua/handle/123456789/210241 https://doi.org/10.3842/SIGMA.2019.054 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 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. This 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Interpolations between Jordanian Twists Induced by Coboundary Twists Article published earlier |
| spellingShingle | Interpolations between Jordanian Twists Induced by Coboundary Twists Borowiec, A. Meljanac, D. Meljanac, S. Pachoł, A. |
| title | Interpolations between Jordanian Twists Induced by Coboundary Twists |
| title_full | Interpolations between Jordanian Twists Induced by Coboundary Twists |
| title_fullStr | Interpolations between Jordanian Twists Induced by Coboundary Twists |
| title_full_unstemmed | Interpolations between Jordanian Twists Induced by Coboundary Twists |
| title_short | Interpolations between Jordanian Twists Induced by Coboundary Twists |
| title_sort | interpolations between jordanian twists induced by coboundary twists |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210241 |
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