T. Halverson et A. Ram, MURNAGHAN-NAKAYAMA RULES FOR CHARACTERS OF IWAHORI-HECKE ALGEBRAS OF CLASSICAL TYPE, Transactions of the American Mathematical Society, 348(10), 1996, pp. 3967-3995
In this paper we give Murnaghan-Nakayama type formulas for computing t
he irreducible characters of the Iwahori-Hecke algebras of types A(n-1
), B-n, and D-n. Our method is a generalization of a derivation of the
Murnaghan-Nakayama formula for the irreducible characters of the symm
etric group given by Curtis Greene. Greene's approach is to sum up the
diagonal entries of the matrices of certain cycle permutations in You
ng's seminormal representations. The analogues of the Young seminormal
representations for the Iwahori-Hecke algebras of types A(n-1), B-n,
and D-n were given by Hoefsmit.