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Götz Pfeiffer,

Young Characters on Coxeter Basis Elements of Iwahori-Hecke Algebras and a Murnaghan-Nakayama Formula.

J. Algebra 168 (1994), 525-535.

Abstract.

In this note we investigate representations induced from subalgebras corresponding to parabolic subgroups of a finite Weyl group. This leads us to a formula for the Young character values on Coxeter basis elements of the associated Iwahori-Hecke algebra. In the second section we will derive from these the values of the irreducible characters on Coxeter basis elements of type An. This enables us to give in a third section an elementary proof of a Murnaghan-Nakayama formula for the character table of Iwahori-Hecke Algebras of type A by means of the Littlewood-Richardson rule.

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