## Nagoya Mathematical Journal

### Some conjectures on endoscopic representations in odd orthogonal groups

#### 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.

#### Article information

Source
Nagoya Math. J., Volume 208 (2012), 145-170.

Dates
First available in Project Euclid: 5 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1354716559

Digital Object Identifier
doi:10.1215/00277630-1815231

Mathematical Reviews number (MathSciNet)
MR3006699

Zentralblatt MATH identifier
1294.11072

#### Citation

Ginzburg, David; Jiang, Dihua. Some conjectures on endoscopic representations in odd orthogonal groups. Nagoya Math. J. 208 (2012), 145--170. doi:10.1215/00277630-1815231. https://projecteuclid.org/euclid.nmj/1354716559

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