Rouquier blocks of the cyclotomic Ariki-Koike algebras

Abstract

ABSTRACT. The definition of Rouquier for the families of characters of Weyl groups in terms of blocks of the associated Iwahori-Hecke algebra has made possible the generalization of this notion to the complex reflection groups. Here we give an algorithm for the determination of the “Rouquier blocks ” of the cyclotomic Ariki-Koike algebras

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