Abstract:
The main result of the paper consists in the construction of a model of the full linear group over a finite field, i.e. its representations such that each irreducible representation occurs as a component precisely once. The series of representations thus constructed has the well-known Gel'fand–Graev representation as first term.
Bibliography: 12 titles.
\Bibitem{Kly83}
\by A.~A.~Klyachko
\paper Models for the complex representations of the groups~$\operatorname{GL}(n,q)$
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 2
\pages 365--379
\mathnet{http://mi.mathnet.ru/eng/sm2136}
\crossref{https://doi.org/10.1070/SM1984v048n02ABEH002680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=691984}
\zmath{https://zbmath.org/?q=an:0543.20026}
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https://www.mathnet.ru/eng/sm2136
https://doi.org/10.1070/SM1984v048n02ABEH002680
https://www.mathnet.ru/eng/sm/v162/i3/p371
This publication is cited in the following 44 articles:
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