Gamma factors and quadratic extension over finite fields
type: Item
instance of: scholarly article
title: Gamma factors and quadratic extension over finite fields
zbMATH Open document ID: 1414.20007
author: Chufeng Nien
published in: Manuscripta Mathematica
publication date: 2019-01-10T00:00:00Z
review text: In this paper, the author characterizes the $\mathrm{GL}_n(\mathbb{F}_q)$-distinguished cuspidal representation of $\mathrm{GL}_n(\mathbb{F}_{q^2})$ in terms of special values of their twisted gamma factors. The concepts and results presented in the paper are rather technical but nice. Therefore, these are too detailed to be described here in a moderate review. Hopefully the list of keywords gives an overview, what the reader might expect. See also the list of references in this respect.
reviewed by: Robert W. van der Waall
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 6999363
zbMATH Keywords: irreducible cuspidal
zbMATH Keywords: representations
zbMATH Keywords: twisted gamma factors
zbMATH Keywords: normalized Bessel functions
zbMATH Keywords: induced characters
zbMATH Keywords: irreducible distinguished representations
zbMATH Keywords: Whittaker models
zbMATH Keywords: Borel and Levi subgroups
MaRDI profile type: Publication
full work available at URL: s00229-018-1022-3
OpenAlex ID: W2797230857
cites work: Q4083620
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cites work: Q5598246
cites work: Two multiplicity-free permutation representations of the general linear group \(GL(n,q^ 2)\)
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cites work: Distinguished p-adic representations
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DOI: 10.1007/S00229-018-1022-3
description: scientific article; zbMATH DE number 6999363