2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209187We describe the finite-dimensional simple modules of all the (twisted and untwisted) multiloop algebras and classify them up to isomorphism.24 pages; new title, Section 2 revised; the author thanks E. Neher and P. Senesi for their comments on the previous versionRepresentation TheoryRings and Algebras17B10; 17B65text