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Murnaghan-Nakayama Rules for Characters of Iwahori-Hecke Algebras of the Complex Reflection Groups <i>G</i>(<i>r, p, n</i>)
Abstract Iwahori-Hecke algebras for the infinite series of complex reflection groups G ( r, p, n ) were constructed recently in the work of Ariki and Koike [AK], Broué andMalle [BM], and Ariki [Ari]. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. …