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On classification of typical representations for GL3(F)

  • Santosh Nadimpalli ORCID logo EMAIL logo
Published/Copyright: May 7, 2019

Abstract

Let F be any non-Archimedean local field with residue field of cardinality qF. In this article, we obtain a classification of typical representations for the Bernstein components associated to the inertial classes of the form [GLn(F)×F×,σχ] with qF>2, and for the principal series components with qF>3. With this we complete the classification of typical representations for GL3(F), for qF>2.

MSC 2010: 11F70; 22E50

Communicated by Freydoon Shahidi


Acknowledgements

This article is based on Chapters 4 and 5 of my Orsay thesis. I would like to thank my thesis advisor Guy Henniart for suggesting this problem and numerous discussions. I thank Corinne Blondel for pointing out several corrections and improvements in my thesis. I want to thank Shaun Stevens for his interest in this work. I thank the anonymous referee for helpful suggestions.

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Received: 2019-02-05
Revised: 2019-03-28
Published Online: 2019-05-07
Published in Print: 2019-07-01

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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