A remark on my paper ''On the Saito-Kurokawa lifting''
type: Item
instance of: scholarly article
title: A remark on my paper ''On the Saito-Kurokawa lifting''
zbMATH Open document ID: 0559.10021
DOI: 10.1007/BF01388492
author: I. I. Pyatetskii-Shapiro
published in: Inventiones Mathematicae
publication date: 1984-01-01T00:00:00Z
review text: This is a correction to the appendix of ibid. 71, 309-338 (1983; Zbl 0515.10024). The objective of this appendix was to prove the existence of CAP representations associated to the maximal parabolic subgroup Q of GSp(4) which has a non-Abelian radical. The cuspidal automorphic forms which were constructed in the appendix have the same L-function as some Eisenstein series associated to Q. However, since these Eisenstein series and our cuspidal automorphic forms have different central characters, our cusp forms do not produce CAP representations. We explain here another construction of CAP representations associated to Q.
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 22E55
Mathematics Subject Classification ID: 11R39
zbMATH DE Number: 3891464
zbMATH Keywords: CAP representations
zbMATH Keywords: cuspidal automorphic forms
MaRDI profile type: Publication
cites work: Q3856976
cites work: Some examples of automorphic forms on Sp4
full work available at URL: https://doi.org/10.1007/bf01388492
OpenAlex ID: W2042232929
description: scientific article; zbMATH DE number 3891464