The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries
This work finishes a classification of Uq(sl₂)-symmetries on the Laurent extension Cq[x±¹,y±¹] of the quantum plane. After reproducing the partial results of a previous paper of the author related to symmetries with non-trivial action of the Cartan generator(s) of Uq(sl₂) and the generic symmetries,...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
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| 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/123456789/210184 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries / S. Sinel'shchikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862685636440358912 |
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| author | Sinel'shchikov, S. |
| author_facet | Sinel'shchikov, S. |
| citation_txt | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries / S. Sinel'shchikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This work finishes a classification of Uq(sl₂)-symmetries on the Laurent extension Cq[x±¹,y±¹] of the quantum plane. After reproducing the partial results of a previous paper of the author related to symmetries with non-trivial action of the Cartan generator(s) of Uq(sl₂) and the generic symmetries, a complete collection of non-generic symmetries is presented. Together, these collections constitute a complete list of Uq(sl₂)-symmetries on Cq[x±¹,y±¹].
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| first_indexed | 2025-12-07T21:24:40Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-210184 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:40Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sinel'shchikov, S. 2025-12-03T14:29:43Z 2019 The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries / S. Sinel'shchikov // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R50; 17B37 arXiv: 1809.02951 https://nasplib.isofts.kiev.ua/handle/123456789/210184 https://doi.org/10.3842/SIGMA.2019.038 This work finishes a classification of Uq(sl₂)-symmetries on the Laurent extension Cq[x±¹,y±¹] of the quantum plane. After reproducing the partial results of a previous paper of the author related to symmetries with non-trivial action of the Cartan generator(s) of Uq(sl₂) and the generic symmetries, a complete collection of non-generic symmetries is presented. Together, these collections constitute a complete list of Uq(sl₂)-symmetries on Cq[x±¹,y±¹]. The author would like to thank the anonymous referees for a large number of comments and suggestions that substantially improved the initial version of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries Article published earlier |
| spellingShingle | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries Sinel'shchikov, S. |
| title | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| title_full | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| title_fullStr | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| title_full_unstemmed | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| title_short | The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| title_sort | laurent extension of quantum plane: a complete list of uq(sl₂)-symmetries |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210184 |
| work_keys_str_mv | AT sinelshchikovs thelaurentextensionofquantumplaneacompletelistofuqsl2symmetries AT sinelshchikovs laurentextensionofquantumplaneacompletelistofuqsl2symmetries |