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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.

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From conjugacy classes in the Weyl group to unipotent classes
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by G. Lusztig
Represent. Theory 15 (2011), 494-530
Published electronically: June 8, 2011


Let $G$ be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes in $G$.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Received by editor(s): April 22, 2010
  • Received by editor(s) in revised form: August 11, 2010
  • Published electronically: June 8, 2011
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 494-530
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 2833465