The prasad conjectures for GSp4 and PGSp4

Hengfei Lu, Shou Wu Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We use the theta correspondence between GSp4(E) and GO(V) to study the GSp4-distinction problems over a quadratic extension E/F of nonarchimedean local fields of characteristic 0. With a similar strategy, we investigate the distinction problem for the pair (GSp4(E); GSp1,1(F)), where GSp1,1 is the unique inner form of GSp4 defined over F. Then we verify the Prasad conjecture for a discrete series representation τ of PGSp4(E).

Original languageEnglish (US)
Pages (from-to)2417-2480
Number of pages64
JournalAlgebra and Number Theory
Volume14
Issue number9
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Langlands correspondence
  • Quaternionic hermitian groups
  • See-saw diagrams
  • The prasad conjecture
  • Theta lift

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