2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54448We apply the techniques of $S^7$-algebras to the construction of N=5-8 superconformal algebras and of S{\bf O}(1,9), a modification of SO(1,9) which commutes with $S^7$-transformations. We discuss the relevance of S{\bf O}(1,9) for off-shell super-Maxwell theory in D=(1,9).8 pages, latexHigh Energy Physics - Theorytext