2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73881This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.Representation TheoryQuantum Algebra20C08, 33D80, 17B10JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebrastext