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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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On reducibility of $p$-adic principal series representations of $p$-adic groups
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by Dubravka Ban and Joseph Hundley PDF
Represent. Theory 20 (2016), 249-262 Request permission


We study the continuous principal series representations of split connected reductive $p$-adic groups over $p$-adic fields. We show that such representations are irreducible when the inducing character lies in a certain cone. This is consistent with a conjecture of Schneider regarding reducibility in the semisimple case.
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Additional Information
  • Dubravka Ban
  • Affiliation: Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901
  • MR Author ID: 658785
  • Email:
  • Joseph Hundley
  • Affiliation: 244 Mathematics Building, University at Buffalo, Buffalo, New York 14260-2900
  • MR Author ID: 746477
  • Email:
  • Received by editor(s): February 20, 2016
  • Received by editor(s) in revised form: June 7, 2016
  • Published electronically: August 17, 2016
  • Additional Notes: This research was supported by NSA grant H98230-15-1-0234
  • © Copyright 2016 American Mathematical Society
  • Journal: Represent. Theory 20 (2016), 249-262
  • MSC (2010): Primary 22E50, 11S80
  • DOI:
  • MathSciNet review: 3537231