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$G(F_{q})$-invariants in irreducible $G(F_{q^{2}})$-modules


Author: G. Lusztig
Journal: Represent. Theory 4 (2000), 446-465
MSC (2000): Primary 20C15
DOI: https://doi.org/10.1090/S1088-4165-00-00114-X
Published electronically: September 14, 2000
MathSciNet review: 1780718
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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
Email: gyuri@math.mit.edu

DOI: https://doi.org/10.1090/S1088-4165-00-00114-X
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
Article copyright: © Copyright 2000 American Mathematical Society