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 $A$_{n}. 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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