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

Weizmann Institute of Science, Bar-Ilan University

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

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

Keywords

Doubling method
Shalika model
Speh representations
Whittaker models

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/16370

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title = "THE GENERALIZED DOUBLING METHOD: (k,c) MODELS",

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.",

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N2 - 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.

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KW - Shalika model

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KW - Whittaker models

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JF - Proceedings of the American Mathematical Society

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ER -

THE GENERALIZED DOUBLING METHOD: (k,c) MODELS

Abstract

Keywords

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