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,...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2019 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2019
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210184 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-210184 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries |
| spellingShingle |
The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries Sinel'shchikov, S. |
| title_short |
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_sort |
laurent extension of quantum plane: a complete list of uq(sl₂)-symmetries |
| author |
Sinel'shchikov, S. |
| author_facet |
Sinel'shchikov, S. |
| publishDate |
2019 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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].
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210184 |
| 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. |
| work_keys_str_mv |
AT sinelshchikovs thelaurentextensionofquantumplaneacompletelistofuqsl2symmetries AT sinelshchikovs laurentextensionofquantumplaneacompletelistofuqsl2symmetries |
| first_indexed |
2025-12-07T21:24:40Z |
| last_indexed |
2025-12-07T21:24:40Z |
| _version_ |
1850886251432902656 |