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Models of Representations and Langlands Functoriality

Part of: Lie groups Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  07 January 2019

Arnab Mitra  and
Eitan Sayag
Arnab Mitra
Affiliation:
Indian Institute of Science Education and Research, Tirupati, India Email: 00.arnab.mitra@gmail.com
Eitan Sayag
Affiliation:
Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, B’eer Sheva 84105, Israel Email: eitan.sayag@gmail.com
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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

local Langlands correspondenceKlyachko modeldegenerate Whittaker model

MSC classification

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields
Secondary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Type
Article
Information
Canadian Journal of Mathematics , Volume 72 , Issue 3 , June 2020 , pp. 676 - 707
Copyright
© Canadian Mathematical Society 2019

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Footnotes

Author A. M. was partially supported by postdoctoral fellowships funded by the Department of Mathematics, Technion and by the ISF grant 1138/10. Author E. S. was partially supported by ERC grant 291612 during the preparation of this paper.

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