A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
type: Item
instance of: scholarly article
title: A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
zbMATH Open document ID: 0642.22003
DOI: 10.1007/BF02771692
author: David Soudry
published in: Israel Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: This paper may be considered as a contribution to the study of the theta- correspondence between automorphic representations of GSp(4) and of \(GO^+(6)\). It is proved that, locally, there is at most one generic representation of GSp(4,F) corresponding to a given irreducible representation of \(GO^+(6,F)\). As a consequence we have an injectivity result for the theta-correspondence from generic automorphic representations of GSp(4) to \(GO^+(6)\), which in its turn implies the strong multiplicity-one theorem for generic representations of GSp(4).
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 4046036
zbMATH Keywords: theta-correspondence
zbMATH Keywords: automorphic representations
zbMATH Keywords: generic representation
zbMATH Keywords: irreducible representation
zbMATH Keywords: strong multiplicity-one theorem
reviewed by: J. G. M. Mars
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4046036