2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52828We review the passage from the supermembrane to matrix theory via a consistent truncation following a non-commutative deformation in light-cone gauge. Some indications are given that there should exist a generalisation of non-commutativity involving a three-index theta on the membrane, and we discuss some possible ways of investigating the corresponding algebraic structure.11 pp, plain tex. Invited talk presented at the conference ``Non-Commutative Geometry and Representation Theory in Mathematical Physics'', Karlstad, Sweden, July 5-10, 2004High Energy Physics - Theorytext