Tame representations of the group $\operatorname {GL}(\infty ,\mathbb {F}_q)$
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A. V. Dudko
Translated by: B. M. Bekker - St. Petersburg Math. J. 18 (2007), 223-239
- DOI: https://doi.org/10.1090/S1061-0022-07-00949-1
- Published electronically: March 16, 2007
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Abstract:
A complete classification of irreducible tame representations of the group $G(\infty )=\varinjlim G(n)$ is presented. Here $G(n)=\operatorname {GL}(n, \mathbb {F}_q)$ is the group of nonsingular matrices of order $n$ over the finite field $\mathbb {F}_q$.References
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Bibliographic Information
- A. V. Dudko
- Affiliation: Kharkiv National University, 4 Svobody sq., 61077 Kharkiv, Ukraine
- Email: artemdudko@rambler.ru
- Received by editor(s): May 11, 2005
- Published electronically: March 16, 2007
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 18 (2007), 223-239
- MSC (2000): Primary 43A65
- DOI: https://doi.org/10.1090/S1061-0022-07-00949-1
- MathSciNet review: 2244936