Abstract

The definition of Rouquier for 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.

Keywords

Ariki–Koike algebras, Rouquier blocks, cyclotomic Hecke algebras, families of characters

Mathematical Subject Classification

Primary: 20C08

Authors