Models of Representations and Langlands Functoriality

Arnab Mitra; Eitan Sayag

doi:10.4153/S0008414X19000014

Models of Representations and Langlands Functoriality

Arnab Mitra
, Eitan Sayag

Department of Mathematics

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

3 Scopus citations

Abstract

In this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.

Original language	English
Pages (from-to)	676-707
Number of pages	32
Journal	Canadian Journal of Mathematics
Volume	72
Issue number	3
DOIs	https://doi.org/10.4153/S0008414X19000014
State	Published - 1 Jun 2020

Keywords

Klyachko model
degenerateWhittaker model
local Langlands correspondence

ASJC Scopus subject areas

General Mathematics

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10.4153/S0008414X19000014

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title = "Models of Representations and Langlands Functoriality",

abstract = "In this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.",

keywords = "Klyachko model, degenerateWhittaker model, local Langlands correspondence",

author = "Arnab Mitra and Eitan Sayag",

note = "Publisher Copyright: {\textcopyright} 2019 Canadian Mathematical Society.",

year = "2020",

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T1 - Models of Representations and Langlands Functoriality

AU - Mitra, Arnab

AU - Sayag, Eitan

PY - 2020/6/1

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N2 - In this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.

AB - In this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.

KW - Klyachko model

KW - degenerateWhittaker model

KW - local Langlands correspondence

UR - https://www.scopus.com/pages/publications/85077137225

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DO - 10.4153/S0008414X19000014

M3 - Article

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SP - 676

EP - 707

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

IS - 3

ER -

Models of Representations and Langlands Functoriality

Abstract

Keywords

ASJC Scopus subject areas

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