On the realization of a class of $\text{SL}(2,\mathbb{Z})$-representations

Zhiqiang Yu

Let $p<q$ be odd primes, ${\rho }_1$ and ${\rho }_2$ be irreducible representations of $\text{SL}(2,{\mathbb{Z}}_p)$ and $\text{SL}(2,{\mathbb{Z}}_q)$ of dimensions $\frac{p+1}{2}$ and $\frac{q+1}…