2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95924After a short introduction on the theory of homogeneous algebras we describe the application of this theory to the analysis of the cubic Yang-Mills algebra, the quadratic self-duality algebras, their "super" versions as well as to some generalization.15 pages. Contribution to the Proceedings of Rigorous Quantum Field Theory in the honour of Jacques BrosMathematical PhysicsHigh Energy Physics - TheoryQuantum Algebra58B34; 81R60; 16E65; 08C99text