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 $F|{\mathbb{Q}}_p$.

arXiv commentAfter major revision, 21 pages, to appear in Journal of Number Theory