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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.


The Grothendieck group of unipotent representations: A new basis
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by G. Lusztig PDF
Represent. Theory 24 (2020), 178-209 Request permission


Let $G(F_q)$ be the group of rational points of a simple algebraic group defined and split over a finite field $F_q$. In this paper we define a new basis for the Grothendieck group of unipotent representations of $G(F_q)$.
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Additional Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): October 11, 2019
  • Received by editor(s) in revised form: March 25, 2020
  • Published electronically: May 27, 2020
  • Additional Notes: The author was supported by NSF grant DMS-1855773.
  • © Copyright 2020 American Mathematical Society
  • Journal: Represent. Theory 24 (2020), 178-209
  • MSC (2020): Primary 20G99
  • DOI:
  • MathSciNet review: 4103274