THE GENERALIZED DOUBLING METHOD: (k,c) MODELS

Yuanqing Cai; Solomon Friedberg; Dmitry Gourevitch; Eyal Kaplan

doi:10.1090/proc/16370

THE GENERALIZED DOUBLING METHOD: (k,c) MODELS

Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch, Eyal Kaplan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	2831-2845
Number of pages	15
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	7
DOIs	https://doi.org/10.1090/proc/16370
State	Published - 1 Jul 2023

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Publisher Copyright:
© 2023 American Mathematical Society.

Keywords

Doubling method
Shalika model
Speh representations
Whittaker models

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THE GENERALIZED DOUBLING METHOD: (k,c) MODELS

Abstract

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Keywords

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