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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.


$G(F_{q})$-invariants in irreducible $G(F_{q^{2}})$-modules
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by G. Lusztig
Represent. Theory 4 (2000), 446-465
Published electronically: September 14, 2000


We give an explicit formula for the dimension of the space of $G(F_{q})$-invariant vectors in an irreducible complex representation of $G(F_{q^{2}})$, where $G$ is a connected reductive algebraic group defined over a finite field $F_{q}$ with connected center.
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Bibliographic Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Received by editor(s): February 26, 2000
  • Received by editor(s) in revised form: June 26, 2000
  • Published electronically: September 14, 2000
  • Additional Notes: Supported in part by the National Science Foundation
  • © Copyright 2000 American Mathematical Society
  • Journal: Represent. Theory 4 (2000), 446-465
  • MSC (2000): Primary 20C15
  • DOI:
  • MathSciNet review: 1780718