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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 the characters of unipotent representations of a semisimple $p$-adic group
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by Ju-Lee Kim and George Lusztig PDF
Represent. Theory 17 (2013), 426-441 Request permission

Abstract:

Let $G$ be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field $K$ and let $V$ be a unipotent representation of $G(K)$ (for example, an Iwahori-spherical representation). We calculate the character of $V$ at compact very regular elements of $G(K)$.
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Additional Information
  • Ju-Lee Kim
  • Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
  • MR Author ID: 653104
  • Email: julee@ math.mit.edu
  • George Lusztig
  • Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email: gyuri@ math.mit.edu
  • Received by editor(s): December 12, 2012
  • Received by editor(s) in revised form: December 24, 2012, and March 6, 2013
  • Published electronically: August 2, 2013
  • Additional Notes: Both authors are supported in part by the National Science Foundation
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 17 (2013), 426-441
  • MSC (2010): Primary 22E50, 20G05
  • DOI: https://doi.org/10.1090/S1088-4165-2013-00439-9
  • MathSciNet review: 3084245