2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51516F-Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). We give finite dimensional examples of F-Lie algebras obtained by an inductive process from Lie algebras and Lie superalgebras. Matrix realizations of the $F-$Lie algebras constructed in this way from osp(2|m) are given. We obtain a non-trivial extension of the Poincaré algebra by an Inönü-Wigner contraction of a certain $F-$Lie algebras with $F>2$.Talk given at GROUP24 in Paris (July 2002); LaTeX, 4 pages, IOP stylesHigh Energy Physics - TheoryMathematical PhysicsRepresentation Theorytext