Answers are grounded in this paper and cite their sources.
We describe new q-deformations of the 3-dimensional Heisenberg algebra, the simple Lie algebra sl₂ and the Witt algebra. They are constructed through a realization as differential operators. These operators are related to the modular group and q-deformed rational numbers defined by Morier-Genoud and Ovsienko and lead to q-deformed Möbius transformations acting on the hyperbolic plane.
No takes yet. Share an insight, caveat, or question.
Alexander Thomas (2024) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: