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

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- by G. Lusztig
- Represent. Theory
**4**(2000), 446-465 - DOI: https://doi.org/10.1090/S1088-4165-00-00114-X
- Published electronically: September 14, 2000
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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.## References

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## Bibliographic 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