2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149402New generalized Poisson structures are introduced by using skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are given by the vanishing of the Schouten-Nijenhuis bracket. As an example, we provide the linear generalized Poisson structures which can be constructed on the dual spaces of simple Lie algebras.Latex file; 5 pages. Some latex problems solved. Talk given at the XXI International Colloquium on Group Theoretical Methods in Physics. July 1996, Goslar, Germany. To appear in the ProceedingsHigh Energy Physics - TheoryQuantum Algebratext