Generalized Poisson structures

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file; 5 pages. Some latex problems solved. Talk given at the XXI International Colloquium on Group Theoretical Methods i

Scientific paper

New 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.

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