2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72793Recent articles have shown the connection between representation theory of quivers and the theory of cluster algebras. In this article, we prove that some cluster algebras of type ADE can be recovered from the data of the corresponding quiver representation category. This also provides some explicit formulas for cluster variables.17 pages ; 2 figures ; the title has changed ! some other minor modificationsRepresentation TheoryRings and AlgebrasMSC 2000 : 16G20 16G70 18E30text