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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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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