On the irreducible very cuspidal representations
type: Item
instance of: scholarly article
title: On the irreducible very cuspidal representations
zbMATH Open document ID: 0716.22008
author: Tetsuya Takahashi
published in: Journal of Mathematics of Kyoto University
publication date: 1990-01-01T00:00:00Z
review text: The author studies the very cuspidal representations of the (extended) parahoric subgroups of the group \(G=GL_ n(F)\) (F a non-archimedean local field) that have been introduced by \textit{H. Carayol} [Ann. Sci. Ec. Norm. Supér., IV. Sér. 17, 191-225 (1984; Zbl 0549.22009)]. For the case that such a representation has odd level he generalizes Carayol's description from the case of even level by generic elements and quasicharacters. This allows him to calculate the \(\epsilon\)-factor of the representation of G obtained by compact induction.
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 11S37
zbMATH DE Number: 4179684
zbMATH Keywords: very cuspidal representations
zbMATH Keywords: parahoric subgroups
zbMATH Keywords: non-archimedean local field
zbMATH Keywords: generic elements
zbMATH Keywords: quasicharacters
zbMATH Keywords: \(\epsilon \) -factor
zbMATH Keywords: compact induction
reviewed by: Rainer Schulze-Pillot
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250520180
OpenAlex ID: W1552511914
DOI: 10.1215/KJM/1250520180
description: scientific article; zbMATH DE number 4179684