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Some conjectures on endoscopic representations in odd orthogonal groups

Published online by Cambridge University Press:  11 January 2016

David Ginzburg
Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel-Aviv University, Israel 69978, ginzburg@post.tau.ac.il
Dihua Jiang
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA, dhjiang@math.umn.edu
Corresponding
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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
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

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