2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75778The construction of Freudenthal's Magic Square, which contains the exceptional simple Lie algebras, in terms of symmetric composition algebras is further developed here. The para-Hurwitz algebras, which form a subclass of the symmetric composition algebras, will be defined, in the split case, in terms of the natural two dimensional module for the simple Lie algebra sl(2). As a consequence, it will be shown how all the Lie algebras in Freudenthal's Magic Square can be constructed, in a unified way, using copies of sl(2) and of its natural module.24 pages. To appear in Rev. Mat. IberoamericanaRepresentation TheoryRings and Algebrastext