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

A. A. Klyachko


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.

UDC: 512.7

MSC: 20G40

Received: 01.06.1981

 English version: Mathematics of the USSR-Sbornik, 1984, 48:2, 365–379

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