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
Mathematical Subject Classification 2010
Primary: 20C33
Secondary: 20C08
Milestones
Received: 7 August 2019
Revised: 24 January 2020
Accepted: 15 February 2020
Published: 8 August 2020
Authors
Charles W. Curtis
Department of Mathematics and Institute of Fundamental Science
University of Oregon
Eugene, OR
United States