Infinitesimal Modular Group: -Deformed ₂ and Witt Algebra

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• 1. Verfasser: Thomas, Alexander
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212254
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Infinitesimal Modular Group: -Deformed ₂ and Witt Algebra. Alexander Thomas. SIGMA 20 (2024), 053, 16 pages

We describe new -deformations of the 3-dimensional Heisenberg algebra, the simple Lie algebra ₂, and the Witt algebra. They are constructed through a realization as differential operators. These operators are related to the modular group and -deformed rational numbers defined by Morier-Genoud and Ov...