On the distinguished spectrum of Sp(2n) with respect to Sp(n) x Sp(n)

Erez Moshe Lapid, Omer Offen

Research output: Contribution to journalArticlepeer-review

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 (GL(2n), Sp(n)) and (Sp(2n), Sp(n) x Sp(n)). 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.

Original languageEnglish
Pages (from-to)101-171
Number of pages71
JournalKyoto Journal of Mathematics
Volume58
Issue number1
DOIs
StatePublished - Apr 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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