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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.


On induction of class functions
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by G. Lusztig PDF
Represent. Theory 25 (2021), 412-421 Request permission


Let $G$ be a connected reductive group defined over a finite field $\mathbf {F}_q$ and let $L$ be a Levi subgroup (defined over $\mathbf {F}_q$) of a parabolic subgroup $P$ of $G$. We define a linear map from class functions on $L(\mathbf {F}_q)$ to class functions on $G(\mathbf {F}_q)$. This map is independent of the choice of $P$. We show that for large $q$ this map coincides with the known cohomological induction (whose definition involves a choice of $P$).
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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): July 31, 2020
  • Received by editor(s) in revised form: November 27, 2020, and December 4, 2020
  • Published electronically: May 7, 2021
  • Additional Notes: This research was supported by NSF grant DMS-1855773
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 412-421
  • MSC (2020): Primary 20G99
  • DOI:
  • MathSciNet review: 4263412