Darstellungen von GL(3, Fq) und Gaußsche Summen.
L'identité de Barnes pour les corps finis
On the structure constants of certain Hecke algebras
[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group is examined; here is a finite field of elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....
Gaussian sums over finite fields and gamma functions. (Gaussche Summen über endlichen Körpern und Gammafunktion.)
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