On the cyclotomic Hecke algebras of complex reflection groups

Abstract : Following the definition of Rouquier for the "families of characters" of a Weyl group which allows the generalization of this notion to the case of complex reflection groups, already appeared in the works of Broué-Kim and Malle-Rouquier, we show that these "families" depend on a numerical datum of the group, its "essential hyperplanes". Using this characterization, we provide the algorithm and the results of the determination of the Rouquier blocks of the cyclotomic Hecke algebras of all exceptional complex reflection groups.
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Maria Chlouveraki. On the cyclotomic Hecke algebras of complex reflection groups. Mathematics [math]. Université Paris-Diderot - Paris VII, 2007. English. ⟨tel-00310489⟩

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