2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96109In this talk we present a division-algebra classification of the generalized supersymmetries admitting bosonic tensorial central charges. We show that for complex and quaternionic supersymmetries a whole class of compatible division-algebra constraints can be imposed. Possible applications to M-theory related dynamical systems are briefly mentioned.Invited plenary talk at the IV International Conference on Mathematical Methods in Physics, August 2004, Rio de Janeiro, Brazil. Published in PoS WC2004/047High Energy Physics - Theorytext