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arxiv: 1409.8045 · v4 · pith:EDJCXKTQnew · submitted 2014-09-29 · 🧮 math.RT · math.NT

On the Schneider-Vigneras functor for principal series

classification 🧮 math.RT math.NT
keywords functorprincipalschneider-vignerasseriesalgebraattachingextensionfield
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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 $F|\mathbb{Q}_p$.

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