Modular representations of cyclotomic Hecke algebras of type G(r,p,n)

Gwenaelle Genet (1) , Nicolas Jacon (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike algebras and Clifford theory.

Mots clés: cyclotomic Hecke algebras; Clifford theory; decomposition matrix

Domaines: Théorie des représentations [math.RT]

Gwenaelle Genet, Nicolas Jacon. Modular representations of cyclotomic Hecke algebras of type G(r,p,n). International Mathematics Research Notices, 2006, pp.Art. ID 93049. ⟨hal-00002867⟩