2 problems

Let $\pi$ be an irreducible representation of $\mathrm{GL}_n$, and let $M_n$ be the mirabolic subgroup. Use the paper's definition of a homogeneous representation and write…

Let $\pi$ be an irreducible representation of $\mathrm{GL}_n$ in the archimedean setting. A Casselman–Wallach representation is called homogeneous if every $M_n$-subrepresentation…