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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.


Unramified representations of reductive groups over finite rings
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by Alexander Stasinski
Represent. Theory 13 (2009), 636-656
Published electronically: November 9, 2009


Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic $p$, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields. We generalize Lusztig’s results to reductive groups over arbitrary finite local rings. This generalization uses the Greenberg functor and the theory of group schemes over Artinian local rings.
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Bibliographic Information
  • Alexander Stasinski
  • Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB, United Kingdom
  • Address at time of publication: School of Mathematics, University of Southampton, Southampton, SO17 1BJ United Kingdom
  • Email:
  • Received by editor(s): September 16, 2008
  • Received by editor(s) in revised form: February 17, 2009
  • Published electronically: November 9, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 636-656
  • MSC (2000): Primary 20G99; Secondary 14L15
  • DOI:
  • MathSciNet review: 2558788