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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.

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.


Distinguished strata in a reductive group
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by G. Lusztig PDF
Represent. Theory 26 (2022), 698-713 Request permission


The set of strata of a reductive group can be viewed as an enlargement of the set of unipotent classes. In this paper the notion of distinguished unipotent class is extended to this larger set. The strata of a Weyl group are also introduced and studied.
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Additional Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, M.I.T., Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): January 23, 2022
  • Received by editor(s) in revised form: April 26, 2022
  • Published electronically: June 30, 2022
  • Additional Notes: This work was supported by NSF grant DMS-1855773 and by a Simons Fellowship

  • Dedicated: Dedicated to the memory of Roger Carter (1934-2022)
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 698-713
  • MSC (2020): Primary 20G05
  • DOI:
  • MathSciNet review: 4446799