2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63696This article is a comprehensive review of the representation theory of the Ariki-Koike algebras and the cyclotomic Schur algebras.LaTeX2E, 58 pages, uses pstricks (once). SubmittedRepresentation TheoryCombinatoricsGroup TheoryQuantum Algebra20C08, 20G05, 33D80text