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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Sinel'shchikov, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210184
• 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.

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,...