Symplectic supercuspidal representations of GL(2n) over p-adic fields

Dihua Jiang, Chufeng Nien, Yujun Qin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

This is part two of the authors' work on supercuspidal representations of GL(2n) over p-adic fields. We consider the complete relations among the local theta correspondence, local Langlands transfer, and the local descent attached to a given irreducible symplectic supercuspidal representation of p-adic GL2n. This is the natural extension of the work of Ginzburg, Rallis and Soudry and of Jiang and Soudry on the local descents and the local Langlands transfers. The approach undertaken in this paper is purely local. A mixed approach with both local and global methods, which works for more general classical groups, has been considered by Jiang and Soudry.

Original languageEnglish (US)
Pages (from-to)273-313
Number of pages41
JournalPacific Journal of Mathematics
Volume245
Issue number2
DOIs
StatePublished - Apr 2010

Keywords

  • Local Langlands transfer
  • Local descent
  • Representations of p-adic groups
  • Shalika models
  • Supercuspidal
  • Symplectic representation

Fingerprint

Dive into the research topics of 'Symplectic supercuspidal representations of GL(2n) over p-adic fields'. Together they form a unique fingerprint.

Cite this