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.

References in corpus (6)

• Simplicity of heads and socles of tensor products
• Geometric conditions for $\square$-irreducibility of certain representations of the general linear group over a non-archimedean local field
• On parabolic induction on inner forms of the general linear group over a non-archimedean local field
• Simple tensor products
• Existence of Klyachko Models for GL(n;R) and GL(n;C)
• Decomposition rules for the ring of representations of non-Archimedean $G{L}_n$