2 problems

Let $F$ be the underlying local field, let $G_m=GL_m(F)$, and let $N$ and $\psi$ be the subgroup and character defining the twisted Jacquet module. Let $\pi$ be an irreducible smoo…

Let $F_n$ be the unique degree-$n$ extension of $F$, let $G=\operatorname{GL}(2n,F)$, and let $A\in\operatorname{M}(n,F)$ be the matrix specified in the source. Let…