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Functorial properties of generalised Steinberg representations

Research output: Contribution to journalArticlepeer-review

Julien Jean Bernard Hauseux, Schmidt Tobias, Claus Sorensen

Original languageEnglish
Pages (from-to)312-329
Number of pages18
JournalJournal of Number Theory
Volume195
Early online date17 Jul 2018
DOIs
Accepted/In press1 Jun 2018
E-pub ahead of print17 Jul 2018
PublishedFeb 2019

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Abstract

Let G be the F-points of a connected reductive group over a nonarchimedean
local field F of residue characteristic p and R be a commutative ring. Let P = LU be a parabolic subgroup of G and Q be a parabolic subgroup of G containing P. We study the functor StG Q taking a smooth R-representation of L which extends to a representation eG() of G trivial on U to the smooth R-representation eG() R StG
Q(R) of G where StG Q(R) is the generalised Steinberg representation.

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