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Representation Theory

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Jacquet modules of $p$-adic general linear groups

Author: Chris Jantzen
Journal: Represent. Theory 11 (2007), 45-83
MSC (2000): Primary 22E50
Published electronically: April 18, 2007
MathSciNet review: 2306606
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Abstract: In this paper, we study Jacquet modules for $p$-adic general linear groups. More precisely, we have results—formulas and algorithms—aimed at addressing the following question: Given the Langlands data for an irreducible representation, can we determine its (semisimplified) Jacquet module? We use our results to answer this question in a number of cases, as well as to recover some familiar results as relatively easy consequences.

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Additional Information

Chris Jantzen
Affiliation: Department of Mathematics, East Carolina University, Greenville, North Carolina 27858
MR Author ID: 316181

Received by editor(s): October 11, 2006
Published electronically: April 18, 2007
Additional Notes: This research was supported in part by NSA grant H98230-04-1-0029 and the East Carolina University College of Arts and Sciences
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.