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On the irreducible
components of a Gelfand–Graev representation of a finite
Chevalley group
Charles W. Curtis |
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Vol. 307 (2020), No. 1, 109–119
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 20C33
Secondary: 20C08
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Milestones
Received: 7 August 2019
Revised: 24 January 2020
Accepted: 15 February 2020
Published: 8 August 2020
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Authors |
| Charles W. Curtis | |
| Department of Mathematics and
Institute of Fundamental Science University of Oregon Eugene, OR United States |
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