One Parameter Family of Jordanian Twists
We propose an explicit generalization of the Jordanian twist proposed in r-symmetrized form by Giaquinto and Zhang. It is proven that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that ou...
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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/123456789/210306 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | One Parameter Family of Jordanian Twists / D. Meljanac, S. Meljanac, Z. Škoda, R. Štrajn // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862633079876616192 |
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| author | Meljanac, D. Meljanac, S. Škoda, Z. Štrajn, R. |
| author_facet | Meljanac, D. Meljanac, S. Škoda, Z. Štrajn, R. |
| citation_txt | One Parameter Family of Jordanian Twists / D. Meljanac, S. Meljanac, Z. Škoda, R. Štrajn // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 39 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We propose an explicit generalization of the Jordanian twist proposed in r-symmetrized form by Giaquinto and Zhang. It is proven that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that our generalization coincides with the twist obtained from the simple Jordanian twist by twisting by a 1-cochain.
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| first_indexed | 2025-12-07T21:25:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210306 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:25:05Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Meljanac, D. Meljanac, S. Škoda, Z. Štrajn, R. 2025-12-05T09:30:29Z 2019 One Parameter Family of Jordanian Twists / D. Meljanac, S. Meljanac, Z. Škoda, R. Štrajn // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 39 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D55; 16T05 arXiv: 1904.03993 https://nasplib.isofts.kiev.ua/handle/123456789/210306 https://doi.org/10.3842/SIGMA.2019.082 We propose an explicit generalization of the Jordanian twist proposed in r-symmetrized form by Giaquinto and Zhang. It is proven that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that our generalization coincides with the twist obtained from the simple Jordanian twist by twisting by a 1-cochain. We thank Anna Pachol for useful discussions. Z.Š. has been partly supported by the Croatian Science Foundation under the Project "New Geometries for Gravity and Spacetime" (IP-2018-01-7615) and by the grant 18-00496S of the Czech Science Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications One Parameter Family of Jordanian Twists Article published earlier |
| spellingShingle | One Parameter Family of Jordanian Twists Meljanac, D. Meljanac, S. Škoda, Z. Štrajn, R. |
| title | One Parameter Family of Jordanian Twists |
| title_full | One Parameter Family of Jordanian Twists |
| title_fullStr | One Parameter Family of Jordanian Twists |
| title_full_unstemmed | One Parameter Family of Jordanian Twists |
| title_short | One Parameter Family of Jordanian Twists |
| title_sort | one parameter family of jordanian twists |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210306 |
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