#### Vol. 307, No. 1, 2020

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On the irreducible components of a Gelfand–Graev representation of a finite Chevalley group

### Charles W. Curtis

Vol. 307 (2020), No. 1, 109–119
##### Abstract

This paper contains a construction of the irreducible representations in the field of complex numbers of the Hecke algebra of a Gelfand–Graev representation of a finite Chevalley group, based on formulas for the structure constants of the Hecke algebra. Using this information, formulas for the corresponding irreducible characters of the finite Chevalley group are obtained.

##### Keywords
representation theory, finite Chevalley groups, Hecke algebras
Primary: 20C33
Secondary: 20C08