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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Duality for classical $p$-adic groups: The half-integral case
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by Chris Jantzen PDF
Represent. Theory 22 (2018), 160-201 Request permission


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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Additional 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