2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62072We compute the generic degrees of the Ariki--Koike algebras by first constructing a basis of matrix units in the semisimple case. As a consequence, we also obtain an explicit isomorphism from any semisimple Ariki--Koike algebra to the group algebra of the corresponding complex reflection group.Fixes some stupid mistakes in the previous version. 31 pages. LaTeX2e. Uses youngtab.styRepresentation TheoryQuantum Algebra20C08, 20G05, 33D80text