Applications of the finite specializations of the $q$-deformed modular group

Takuma Byakuno, Xin Ren, Kohji Yanagawa

Recently, Morier-Genoud and Ovsienko introduced the $q$-deformed modular group. For the construction, they first gave a group $G_q \subset \operatorname{GL}(2, \mathbb{Z}[q^{\pm}])…