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

Dihua Jiang, Chufeng Nien, Yujun Qin

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12 Scopus citations


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
Issue number2
StatePublished - Apr 2010


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


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