Congruence properties of induced representations and their applications

Dieter Mayer, Arash Momeni, Alexei Venkov

In this paper we study congruence properties of the representations $U_{\alpha }:=U_{{\chi }_{\alpha }}^{PSL(2,\mathbb{Z})}$ of the projective modular group $\mathrm{PSL}(2,\mathbb{Z})$ induced from a fami…