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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.


Duality for classical $p$-adic groups: The half-integral case
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by Chris Jantzen
Represent. Theory 22 (2018), 160-201
Published electronically: October 24, 2018


Let $G$ be a classical $p$-adic group and let $\pi$ be a smooth irreducible representation of $G$. In this paper, we consider the problem of calculating the dual (in the sense of Aubert and Schneider-Stuhler) $\hat {\pi }$. More precisely, if $\pi$ is specified by its Langlands data, the problem is to determine the Langlands data for $\hat {\pi }$. This problem reduces (based on supercuspidal support) to two main cases: half-integral reducibility and integral reducibility; the latter is addressed here.
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Bibliographic Information
  • Chris Jantzen
  • Affiliation: Department of Mathematics, East Caronlina University, Greenville, North Carolina 27858
  • MR Author ID: 316181
  • Email:
  • Received by editor(s): January 15, 2018
  • Received by editor(s) in revised form: July 19, 2018
  • Published electronically: October 24, 2018
  • Additional Notes: This research was supported in part by NSA grant H98230-13-1-0237.
  • © Copyright 2018 American Mathematical Society
  • Journal: Represent. Theory 22 (2018), 160-201
  • MSC (2010): Primary 22E50
  • DOI:
  • MathSciNet review: 3868005