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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Jacquet modules of $p$-adic general linear groups
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by Chris Jantzen
Represent. Theory 11 (2007), 45-83
Published electronically: April 18, 2007


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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Bibliographic Information
  • Chris Jantzen
  • Affiliation: Department of Mathematics, East Carolina University, Greenville, North Carolina 27858
  • MR Author ID: 316181
  • Email:
  • 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
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 11 (2007), 45-83
  • MSC (2000): Primary 22E50
  • DOI:
  • MathSciNet review: 2306606