Rouquier blocks of the cyclotomic Hecke algebras of G(de,e,r)

Details Rouquier blocks of the cyclotomic Hecke algebras of G(de,e,r) Rouquier blocks of the cyclotomic Hecke algebras of G(de,e,r)

2008-05-02

arxiv.org/abs/0805.0288v2

Mathematics

Representation Theory

In the second version, we study a missing (from the first version) case in the proof of Theorem 3.10 (without consequences on

Scientific paper

The "Rouquier blocks" of the cyclotomic Hecke algebras, introduced by Rouquier, are a substitute for the "families of characters", defined by Lusztig for Weyl groups, which can be applied to all complex reflection groups. In this article, we determine them for the cyclotomic Hecke algebras of the groups of the infinite series, G(de,e,r), thus completing their calculation for all complex reflection groups.

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