Irreducibility of the unitary principal series of p-adic \({\widetilde{Sp(n)}}\)
type: Item
instance of: scholarly article
title: Irreducibility of the unitary principal series of p-adic \({\widetilde{Sp(n)}}\)
zbMATH Open document ID: 1194.22020
author: Marcela Hanzer
author: Ivan Matić
published in: Manuscripta Mathematica
publication date: 2010-07-02T00:00:00Z
review text: Let \(F\) be a \(p\)-adic field, \(Sp(n)\) the symplectic group of rank \(n\) over \(F\), and \({\widetilde{Sp(n)}}\) the unique (up to isomorphism) metaplectic double cover of \(Sp(n).\) Using theta correspondence, the irreducibility of the unitary principal series for \({\widetilde{Sp(n)}}\) is proven.
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 22D10
zbMATH DE Number: 5729742
zbMATH Keywords: metaplectic groups
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: s00229-010-0362-4
OpenAlex ID: W1996043529
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DOI: 10.1007/S00229-010-0362-4
description: scientific article; zbMATH DE number 5729742