Skip to Main Content

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.


On induction of class functions
HTML articles powered by AMS MathViewer

by G. Lusztig
Represent. Theory 25 (2021), 412-421
Published electronically: May 7, 2021


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 $P$).
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2020): 20G99
  • Retrieve articles in all journals with MSC (2020): 20G99
Bibliographic 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