2 problems

Let $k$ be a nonarchimedean local field, let $n$ be a positive integer, and let $\rho$ and $\rho'$ be irreducible generic admissible representations of ${\rm SO}_{2n+1}(k)$. For ea…

Let $F$ be a $p$-adic field, and suppose the $G_2$ multiplicity-one conjecture for $\widetilde I(\chi,\psi)$ holds. Let $\Pi_1,\Pi_2$ be irreducible generic representations of…