Symplectic supercuspidal representations and related problems

Di Hua Jiang, Chu Feng Nien, Yu Jun Qin

Research output: Contribution to journalReview articlepeer-review

5 Scopus citations

Abstract

In this paper, we summarize the basic structures and properties of irreducible symplectic supercuspidal representations of GL n(F) over a p-adic local field F with characteristic zero, and explore possible topics for further investigation.

Original languageEnglish (US)
Pages (from-to)533-546
Number of pages14
JournalScience China Mathematics
Volume53
Issue number3
DOIs
StatePublished - 2010

Bibliographical note

Funding Information:
Acknowledgements The work of the first author is supported in part by Natural Science foundation of USA (Grant No. DMS-0653742). The second author is supported by Natural Science Foundation of Taiwan, China (Grant No. 97-2115-M-006-007). The third author is supported partly by the program PCSIRT (Program for Changjiang Scholars and Innovative Research Team in East China Normal University). All three authors are supported in part by National Natural Science Foundation of China (Grant No. 10701034).

Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

Keywords

  • Generalized Shalika models
  • Linear models
  • Shalika models
  • Stability and endoscopy
  • Symplectic supercuspidal representations

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