The Second Adjointness Theorem for reductive p-adic groups
Representation Theory
2010-05-28 v2
Abstract
We prove that the Jacquet restriction functor for a parabolic subgroup of a reductive group over a non-Archimedean local field is right adjoint to the parabolic induction functor for the opposite parabolic subgroup, in the generality of smooth group representations on R-modules for any unital ring R in which the residue field characteristic is invertible. Correction: it turned out that the paper contains a mistake (in Lemma 3.4), which the authors have been unable to fix. This renders the proof of the main theorem incomplete.
Cite
@article{arxiv.1004.4290,
title = {The Second Adjointness Theorem for reductive p-adic groups},
author = {Ralf Meyer and Maarten Solleveld},
journal= {arXiv preprint arXiv:1004.4290},
year = {2010}
}