The unitary dual of the Hermitian quaternionic group of split rank 2
type: Item
instance of: scholarly article
title: The unitary dual of the Hermitian quaternionic group of split rank 2
zbMATH Open document ID: 1143.22009
author: Marcela Hanzer
published in: Pacific Journal of Mathematics
publication date: 2007-07-20T00:00:00Z
review text: This paper solves the reducibility problem of the induced representation for the hermitian quaternionic groups which are of semisimple rank 1 or 2, defined over \(p\)-adic fields, and it is based mainly on Shahidi's method. It also gives a complete classification of the noncuspidal part of the unitary dual of the group of semisimple rank 2. This work is technical and interesting, it should be valuable for those who are interested in the structure theory of representations on these groups and the application of the Langlands-Shahidi method.
Mathematics Subject Classification ID: 22E35
zbMATH DE Number: 5173445
zbMATH Keywords: unitary dual
zbMATH Keywords: p-adic groups
zbMATH Keywords: hermitian quaternionic groups
zbMATH Keywords: reducibility
zbMATH Keywords: induced representation
MaRDI profile type: Publication
full work available at URL: pjm.2006.226.353
OpenAlex ID: W1998423620
DOI: 10.2140/PJM.2006.226.353
description: scientific article; zbMATH DE number 5173445