Models for the complex representations of the groups $\operatorname{GL}(n,q)$

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.