Geodesic
Representations of the full linear group over a~finite field
Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 13-39

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Complex representations of the group $GL(n,\mathbf F_q)$ are studied, where $\mathbf F_q$ is a field of order $q$. The concept of analytic representations of $GL(n,\mathbf F_q)$ is introduced and is used to construct all the irreducible representations of $GL(n,\mathbf F_q)$. Results are obtained on the irreducible polynomials of 3rd degree over $\mathbf F_q$. Bibliography: 21 titles. 
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     author = {S. I. Gel'fand},
     title = {Representations of the full linear group over a~finite field},
     journal = {Sbornik. Mathematics},
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     volume = {12},
     number = {1},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_12_1_a1/}
}
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S. I. Gel'fand. Representations of the full linear group over a~finite field. Sbornik. Mathematics, Tome 12 (1970) no. 1, pp. 13-39. http://geodesic.mathdoc.fr/item/SM_1970_12_1_a1/