THE GENERALIZED DOUBLING METHOD: (k,c) MODELS

Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch, Eyal Kaplan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called (k, c) models, for local components of generalized Speh representations. We construct a family of (k, c) representations, in a purely local setting, and discuss their realizations using inductive formulas. Our main result is a uniqueness theorem which is essential for the proof that the generalized doubling integral is Eulerian.

Original languageEnglish
Pages (from-to)2831-2845
Number of pages15
JournalProceedings of the American Mathematical Society
Volume151
Issue number7
DOIs
StatePublished - 1 Jul 2023

Bibliographical note

Publisher Copyright:
© 2023 American Mathematical Society.

Keywords

  • Doubling method
  • Shalika model
  • Speh representations
  • Whittaker models

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