2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53818We present $S^7$-algebras as generalized Kac-Moody algebras. A number of free-field representations is found. We construct the octonionic projective spaces $ØP^N$.11 pages, phyzzx and epsf, HUB-IEP-94/1, Göteborg-ITP-94-7High Energy Physics - Theory$S^7$ Current Algebrastext