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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 . 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 by means of the Littlewood-Richardson
rule.
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