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April 2018 On the distinguished spectrum of Sp2n with respect to Spn×Spn
Erez Moshe Lapid, Omer Offen
Kyoto J. Math. 58(1): 101-171 (April 2018). DOI: 10.1215/21562261-2017-0019

Abstract

Given a reductive group G and a reductive subgroup H, both defined over a number field F, we introduce the notion of the H-distinguished automorphic spectrum of G and analyze it for the pairs (GL2n,Spn) and (Sp2n,Spn×Spn). In the first case we give a complete description by using results of Jacquet and Rallis as well as Offen and Yamana. In the second case we give an upper bound, generalizing vanishing results of Ash, Ginzburg, and Rallis, and a lower bound, extending results of Ginzburg, Rallis, and Soudry.

Citation

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Erez Moshe Lapid. Omer Offen. "On the distinguished spectrum of Sp2n with respect to Spn×Spn." Kyoto J. Math. 58 (1) 101 - 171, April 2018. https://doi.org/10.1215/21562261-2017-0019

Information

Received: 5 June 2016; Accepted: 19 July 2016; Published: April 2018
First available in Project Euclid: 10 October 2017

zbMATH: 06873130
MathSciNet: MR3776281
Digital Object Identifier: 10.1215/21562261-2017-0019

Subjects:
Primary: 11F70

Rights: Copyright © 2018 Kyoto University

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Vol.58 • No. 1 • April 2018
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