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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.


Classification of unipotent representations of simple $p$-adic groups, II
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by G. Lusztig
Represent. Theory 6 (2002), 243-289
Published electronically: September 10, 2002


Let $\mathbf G(\mathbf K)$ be the group of $\mathbf K$-rational points of a connected adjoint simple algebraic group over a nonarchimedean local field $\mathbf K$. In this paper we classify the unipotent representations of $\mathbf G(\mathbf K)$ in terms of the geometry of the Langlands dual group. This was known earlier in the special case where $\mathbf G(\mathbf K)$ is an inner form of a split group.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): November 28, 2001
  • Received by editor(s) in revised form: May 3, 2002
  • Published electronically: September 10, 2002
  • Additional Notes: Supported in part by the National Science Foundation. This paper was written while the author enjoyed the hospitality of the Institut des Hautes Études Scientifiques
  • © Copyright 2002 American Mathematical Society
  • Journal: Represent. Theory 6 (2002), 243-289
  • MSC (2000): Primary 22E50
  • DOI:
  • MathSciNet review: 1927955