2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65708This is a review paper on the algebraic structure and representations of the A type Yangian and the B, C, D types twisted Yangians. Some applications to constructions of Casimir elements and characteristic identities for the corresponding Lie algebras are also discussed.55 pagesQuantum AlgebraMathematical PhysicsRepresentation TheoryYangians and their applicationstext