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Some conjectures on endoscopic representations in odd orthogonal groups
Published online by Cambridge University Press: 11 January 2016
Abstract
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.
- Type
- Research Article
- Information
- Nagoya Mathematical Journal , Volume 208: Memorial Volume for Professor Hiroshi Saito , December 2012 , pp. 145 - 170
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 2012