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This paper computes the irreducible characters of the alternating Heckealgebras, which are deformations of the group algebras of the alternatinggroups. More precisely, we compute the values of the irreducible characters ofthe semisimple alternating Hecke algebras on a set of elements indexed byminimal length conjugacy class representatives and we show that these charactervalues determine the irreducible characters completely. As an application wedetermine a splitting field for the alternating Hecke algebras in thesemisimple case.

The irreducible characters of the alternating Hecke algebras