2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185747We construct a wide class of finite W-algebras as truncations of Yangians. These truncations correspond to algebra homomorphisms and allow to construct the W-algebras as exchange algebras, the R-matrix being the Yangian's one. As an application, we classify all irreducible finite dimensionnal representations of these W-algebras and determine their center.31 pages Part on representations corrected and completed; misprints correctedQuantum AlgebraHigh Energy Physics - TheoryMathematical Physicstext