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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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$G(F_{q})$-invariants in irreducible $G(F_{q^{2}})$-modules
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by G. Lusztig PDF
Represent. Theory 4 (2000), 446-465 Request permission

Abstract:

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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Additional Information
  • G. Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • MR Author ID: 117100
  • Email: gyuri@math.mit.edu
  • 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: https://doi.org/10.1090/S1088-4165-00-00114-X
  • MathSciNet review: 1780718