The formal degree of the discrete series representations of \(\mathrm{GL}_m(D)\)
type: Item
instance of: scholarly article
title: The formal degree of the discrete series representations of \(\mathrm{GL}_m(D)\)
zbMATH Open document ID: 1295.22023
author: Kazutoshi Kariyama
published in: Journal of Number Theory
publication date: 2014-09-09T00:00:00Z
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 6341815
zbMATH Keywords: non-Archimedean local field
zbMATH Keywords: central simple algebra
zbMATH Keywords: discrete series representation
zbMATH Keywords: type
zbMATH Keywords: Hecke algebra
zbMATH Keywords: formal degree
MaRDI profile type: Publication
full work available at URL: j.jnt.2013.04.015
OpenAlex ID: W2038674939
cites work: Plancherel measure for GL(\(n,F\)) and GL(\(m,D\)): Explicit formulas and Bernstein decomposition
cites work: Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle
cites work: Sur le dual unitaire de GLr(D)
cites work: The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
cites work: Smooth representations of reductive p -ADIC groups: structure theory via types
cites work: Q4700356
cites work: Extension Du Formalisme De Bushnell Et Kutzko Au Cas D'une Algèbre À Division
cites work: Schémas en groupes et immeubles des groupes classiques sur un corps local
cites work: Représentations cuspidales du groupe linéaire
cites work: Degrees and formal degrees for division algebras and \(GL_ n\) over a p- adic field
cites work: Q3708223
cites work: Level zero types and Hecke algebras for local central simple algebras
cites work: Représentations lisses de $\textup {GL} (m,D)$ I : caractères simples
cites work: Représentations lisses de GL(m, D) II : β-extensions
cites work: Représentations lisses de GLm(D)GLm(D), III : types simples
cites work: REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES
cites work: Weak Explicit Matching for Level Zero Discrete Series of Unit Groups of 𝔭-Adic Simple Algebras
cites work: An explicit matching theorem for level zero discrete series of unit groups ofp-adic simple algebras
cites work: Semisimple characters for \(p\)-adic classical groups
cites work: Induced representations of GL (n, A) for p-adic division algebras A.
cites work: Algèbres de Hecke et induites de représentations cuspidales, pour GL (N).
cites work: Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
cites work: Representation theory of local division algebras.
DOI: 10.1016/J.JNT.2013.04.015
description: scientific article; zbMATH DE number 6341815