2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196108The Hopf algebra structure underlying Feynman diagrams which governs the process of renormalization in perturbative quantum field theory is reviewed. Recent progress is briefly summarized with an emphasis on further directions of research.30 pages, review, final versionHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyQuantum Algebratext