Open Access
December 2012 Some conjectures on endoscopic representations in odd orthogonal groups
David Ginzburg, Dihua Jiang
Nagoya Math. J. 208: 145-170 (December 2012). DOI: 10.1215/00277630-1815231


In this paper, we introduce two conjectures on characterizations of endoscopy structures of irreducible generic cuspidal automorphic representations of odd special orthogonal groups in terms of nonvanishing of certain period of automorphic forms. We discuss a relation between the two conjectures and prove that a special case of Conjecture 1 (and hence Conjecture 2) is true.


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David Ginzburg. Dihua Jiang. "Some conjectures on endoscopic representations in odd orthogonal groups." Nagoya Math. J. 208 145 - 170, December 2012.


Published: December 2012
First available in Project Euclid: 5 December 2012

zbMATH: 1294.11072
MathSciNet: MR3006699
Digital Object Identifier: 10.1215/00277630-1815231

Primary: 11F70 , 22E55

Rights: Copyright © 2012 Editorial Board, Nagoya Mathematical Journal

Vol.208 • December 2012
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