Typical representations for GLn(F)

Leiden Repository

Typical representations for GLn(F)

Type: Doctoral Thesis
Title: Typical representations for GLn(F)
Author: Nadimpalli, S.
Issue Date: 2015-06-16
Keywords: Parabolic-subgroups
Intertwining-operators
Simple type
Smooth representations
Bushnell-Kutzko types
Typical representations
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.
Promotor: Supervisor: Edixhoven B., Henniart G.,
Faculty: Faculty of Science
University: Leiden University
Handle: http://hdl.handle.net/1887/33218
 

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