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Jacquet modules of $ p$-adic general linear groups

Author(s): Chris Jantzen
Journal: Represent. Theory 11 (2007), 45-83.
MSC (2000): Primary 22E50
Posted: April 18, 2007
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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
Email: jantzenc@ecu.edu

DOI: 10.1090/S1088-4165-07-00316-0
PII: S 1088-4165(07)00316-0
Received by editor(s): October 11, 2006
Posted: 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
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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