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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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Remarks on Springer’s representations
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by G. Lusztig PDF
Represent. Theory 13 (2009), 391-400 Request permission

Abstract:

We give an explicit description of a set of irreducible representations of a Weyl group which parametrizes the nilpotent orbits in the Lie algebra of a connected reductive group in arbitrary characteristic. We also answer a question of Serre concerning the conjugacy class of a power of a unipotent element in a connected reductive group.
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Additional Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Received by editor(s): May 5, 2009
  • Published electronically: September 3, 2009
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 13 (2009), 391-400
  • MSC (2000): Primary 20G99
  • DOI: https://doi.org/10.1090/S1088-4165-09-00358-6
  • MathSciNet review: 2540702