On the Schneider-Vigneras functor for principal series

Abstract

We study the Schneider-Vigneras functor attaching a module over the Iwasawa algebra $\Lambda(N_0)$ to a $B$-representation for irreducible modulo $\pi$ principal series of the group $\mathrm{GL}_n(F)$ for any finite field extension $F|\mathbb{Q}_p$.Comment: After major revision, 21 pages, to appear in Journal of Number Theor