Typical representations for GLn(F)

Leiden Repository

Typical representations for GLn(F)

Type: Doctoral Thesis
Title: Typical representations for GLn(F)
Author: Nadimpalli, Santosh
Publisher: Mathematical Institute, Faculty of Science, Leiden University
Issue Date: 2015-06-16
Keywords: Typical representations
Bushnell-Kutzko types
Smooth representations
Simple type
Intertwining-operators
Parabolic-subgroups
Abstract: In this thesis we classify typical representations for certain non-cuspidal Bernstein components of GL_n over a non-Archimedean local field. Following the work of Henniart in the case of GL_2 and Paskunas for the cuspidal Bernstein components, we classify typical representations for Bernstein components of level-zero for GL_n for n ≥ 3, principal series components, components with Levi subgroup of the form (n, 1) for n > 1 and certain components with Levi subgroup of the form (2, 2). Each of the above component is treated in a separate chapter. The classification uses the theory of types developed by Bushnell and Kutzko in a significant way. We will give the classification in terms of Bushnell-Kutzko types for a given inertial class.
Description: Promotores: Bas Edixhoven, Guy Henniart
With summaries in Dutch and French
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Nadimpalli, S., 2015, Doctoral Thesis, Leiden University
Handle: http://hdl.handle.net/1887/33218
 

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application/pdf Chapter 1 Introduction 448.3Kb View/Open
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