Symplectic-orthogonal theta lifts of generic discrete series
type: Item
instance of: scholarly article
title: Symplectic-orthogonal theta lifts of generic discrete series
zbMATH Open document ID: 0955.22014
DOI: 10.1215/S0012-7094-00-10128-7
author: Goran Muić
author: Gordan Savin
published in: Duke Mathematical Journal
publication date: 2001-02-20T00:00:00Z
review text: The authors study theta lifts between representations of the symplectic \(p\)-adic group \(Sp(n)\) and the special even-orthogonal group \(SO(2r)\). They show that the correspondence arising from the Weil representation is functorial for generic square integrable representations. The main tools in their paper are the theory of \(L\)-functions of Shahidi and the square integrability criterion of the second author for generic representations. This criterion is in terms of the \(L\)-functions.
reviewed by: Marko Tadić
Mathematics Subject Classification ID: 22E35
zbMATH DE Number: 1442145
zbMATH Keywords: \(p\)-adic symplectic group
zbMATH Keywords: \(p\)-adic special even-orthogonal group
zbMATH Keywords: theta correspondence
zbMATH Keywords: square integrable representations
MaRDI profile type: Publication
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full work available at URL: s0012-7094-00-10128-7
OpenAlex ID: W1972170609
description: scientific article; zbMATH DE number 1442145