On the regularization process for Ariki-Koike algebras

Nicolas Jacon (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

The aim of this note is to study a generalization of theorems by James and Fayers on the modular representations of the symmetric group and its Hecke algebra to the case of the complex reflection groups of type $G(l,1,n)$ and the associated Ariki-Koike algebra.

Mots clés: canonical bases

Mots clés: Ariki-Koike algebra; regularization; decomposition numbers; canonical bases.

Domaines: Théorie des représentations [math.RT]; Combinatoire [math.CO]

Nicolas Jacon. On the regularization process for Ariki-Koike algebras. Seminaire Lotharingien de Combinatoire, 2013. ⟨hal-00777352v2⟩