On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69052Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of unity. Moreover, we determine the parametrization of this set and we give the consequences of these results on the representation theory of Ariki-Koike algebras.37 pagesRepresentation Theory20C08On the parametrization of the simple modules for Ariki-Koike algebras at roots of unitytext