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.Suivant la définition de Rouquier de « familles de caractères » d'un groupe de Weyl qui permet la généralisation de cette notion au cas des groupes de réflexions complexes, déjà utilisée dans les travaux de Broué–Kim et...
This paper investigates the Rouquier blocks of the Hecke algebras of the symmetric groups and the Ro...
International audienceWe study the Schur elements and the a-function for cyclotomic Hecke algebras. ...
An inductive approach to the representation theory of the chain of the cyclotomic Hecke algebras of ...
Following the definition of Rouquier for the "families of characters" of a Weyl group and its genera...
The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in t...
These lecture notes study the Rouquier blocks (i.e. the families of characters) of the cyclotomic He...
The definition of Rouquier for families of characters of Weyl groups in terms of blocks of the assoc...
In French. Final version, to appear in "Representation Theory"Nous étudions certains types de blocs ...
AbstractFollowing the generalization of the notion of families of characters, defined by Lusztig for...
AbstractMotivated by the work of Lusztig on the families of Irr(W) for the Weyl group W of any type,...
Let W be a finite complex reflection group, and H = H(W,u) the corre-sponding generic (cyclotomic) H...
AbstractNous généralisons au cas des groupes de réflexions complexes la définition de Rouquier des “...
AbstractMotivated by the work of Lusztig on the families of Irr(W) for the Weyl group W of any type,...
AbstractLet W be a complex reflection group. We formulate a conjecture relating blocks of the corres...
We construct an algorithm for getting a reduced expression for any element in acomplex reflection gr...
This paper investigates the Rouquier blocks of the Hecke algebras of the symmetric groups and the Ro...
International audienceWe study the Schur elements and the a-function for cyclotomic Hecke algebras. ...
An inductive approach to the representation theory of the chain of the cyclotomic Hecke algebras of ...
Following the definition of Rouquier for the "families of characters" of a Weyl group and its genera...
The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in t...
These lecture notes study the Rouquier blocks (i.e. the families of characters) of the cyclotomic He...
The definition of Rouquier for families of characters of Weyl groups in terms of blocks of the assoc...
In French. Final version, to appear in "Representation Theory"Nous étudions certains types de blocs ...
AbstractFollowing the generalization of the notion of families of characters, defined by Lusztig for...
AbstractMotivated by the work of Lusztig on the families of Irr(W) for the Weyl group W of any type,...
Let W be a finite complex reflection group, and H = H(W,u) the corre-sponding generic (cyclotomic) H...
AbstractNous généralisons au cas des groupes de réflexions complexes la définition de Rouquier des “...
AbstractMotivated by the work of Lusztig on the families of Irr(W) for the Weyl group W of any type,...
AbstractLet W be a complex reflection group. We formulate a conjecture relating blocks of the corres...
We construct an algorithm for getting a reduced expression for any element in acomplex reflection gr...
This paper investigates the Rouquier blocks of the Hecke algebras of the symmetric groups and the Ro...
International audienceWe study the Schur elements and the a-function for cyclotomic Hecke algebras. ...
An inductive approach to the representation theory of the chain of the cyclotomic Hecke algebras of ...