Periods of residual representations of SO\((2l)\)
type: Item
instance of: scholarly article
title: Periods of residual representations of SO\((2l)\)
zbMATH Open document ID: 1050.22023
author: David Ginzburg
author: Steve Rallis
author: Dihua Jiang
published in: Manuscripta Mathematica
publication date: 2004-07-01T00:00:00Z
review text: From authors' abstract: ``We extend results on G\(_2\)-period of residual representations of SO\(_8\) to a generalized G\(_2\)-period of residual representations of SO\(_{2\ell}\) \((\ell\geq 4)\). The period is expected to detect the nonvanishing of the relevant tensor product L-function at the center of symmetry, which is a special case of the Gross-Prasad conjecture. More general cases will be considered later.'' The paper consists of matrix decompositions and integration.
reviewed by: Yuval Z. Flicker
Mathematics Subject Classification ID: 22E55
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 2078015
zbMATH Keywords: periods
zbMATH Keywords: residual representations
MaRDI profile type: Publication
full work available at URL: s00229-003-0417-x
OpenAlex ID: W2032181325
DOI: 10.1007/S00229-003-0417-X
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description: scientific article; zbMATH DE number 2078015