Character formula for representations of local quaternion algebras (wildly ramified case)
type: Item
instance of: scholarly article
title: Character formula for representations of local quaternion algebras (wildly ramified case)
zbMATH Open document ID: 0897.22018
author: Tetsuya Takahashi
published in: Journal of Mathematics of Kyoto University
publication date: 1998-10-05T00:00:00Z
review text: Let \(F\) be a non-archimedean local field of characteristic zero and \(D\) the quaternion field over \(F\). In the paper by \textit{H. Hijikata, H. Saito} and \textit{M. Yamauchi} [J. Number Theory 43, 123-167 (1993; Zbl 0819.11018)], the character of an irreducible admissible representation of \(D^{\times}\) was computed explicitly in the case of residual characteristic \(\neq 2\). In the present paper the author applies the same technique to compute that character in the case of residual characteristic \(2\). The character formula has been written out completely only for \(F\) unramified over \(\mathbb{Q}_2\), where it covers already three pages.
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 950586
zbMATH Keywords: character
zbMATH Keywords: irreducible admissible representation
reviewed by: J. G. M. Mars
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518611
OpenAlex ID: W1596426516
DOI: 10.1215/KJM/1250518611
description: scientific article; zbMATH DE number 950586