2 problems

Let $\pi$ be an irreducible representation of $\mathrm{GL}_n$ of depth $d$. Regard its highest derivative $\pi^-$ as a representation of $M_{n-d+1}$, and let … be its increasing so…

Let $\pi$ be an irreducible representation of $\mathrm{GL}_n$ of depth $d$, and let $\pi^-$ denote its highest derivative, regarded as a representation of the mirabolic group…