New generalized Poisson structures

  title={New generalized Poisson structures},
  author={Jos{\'e} Adolfo de Azc{\'a}rraga and A. M. Perelomov and J. C. P{\'e}rez Bueno},
  journal={Journal of Physics A},
New generalized Poisson structures are introduced by using suitable skew-symmetric contravariant tensors of even order. The corresponding `Jacobi identities' are provided by conditions on these tensors, which may be understood as cocycle conditions. 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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