Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I. (English) Zbl 0596.20028
From the author’s introduction: ”Let G be an adjoint, simple algebraic group of type \(E_ n\) \((n=6,7,8)\), \(F_ 4\) or \(G_ 2\) over an algebraically closed field K of characteristic \(p>0\). We assume that G has a fixed \(F_ q\)-rational structure for a finite subfield \(F_ q\) of K. The purpose of this paper is to determine explicitly the values of the irreducible characters of \(G=G(F_ q)\) at the unipotent elements when p is good [T. A. Springer and R. Steinberg, Lect. Notes Math. 131, E1-E100 (1970; Zbl 0249.20024)]. In this Part I, we shall do this only for large p, and the full result will be proved in the forthcoming Part II.”
Reviewer: A.G.Elashvili
MSC:
| 20G05 | Representation theory for linear algebraic groups |
| 20G40 | Linear algebraic groups over finite fields |
Citations:
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