Generic Symmetries of the Laurent Extension of Quantum Plane

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Author: Sinel'shchikov, S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119884
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generic Symmetries of the Laurent Extension of Quantum Plane / S. Sinel'shchikov // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 4. — С. 333-358. — Бібліогр.: 8 назв. — англ.

A list of generic Uq (sl)-module algebra structures on the Laurent polynomial algebra over the quantum plane with uncountably many isomorphism classes is produced. Also, a complete list of these structures is presented in which the action of Cartan generator of Uq (sl) is not reduced to multiplying...