The Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries

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dc.contributor.authorSinel'shchikov, S.
dc.date.accessioned2025-12-03T14:29:43Z
dc.date.issued2019
dc.description.abstractThis 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].
dc.description.sponsorshipThe 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.
dc.identifier.citationThe 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.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.038
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81R50; 17B37
dc.identifier.otherarXiv: 1809.02951
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210184
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleThe Laurent Extension of Quantum Plane: a Complete List of Uq(sl₂)-Symmetries
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік