A filtration on rings of representations of non-Archimedean $G{L}_n$

Maxim Gurevich

Let $F$ be a $p$-adic field. Let $\mathcal{R}$ be the Grothendieck ring of complex smooth finite-length representations of the groups $\{G{L}_n(F){\}}_{n=0}^{\infty }$ taken together, wit…