On the generalizations of Poisson structures

Abstract

The characterization of the Nambu-Poisson n-tensors as a subfamily of the Generalized-Poisson ones recently introduced (and here extended to the odd order case) is discussed. The homology and cohomology complexes of both structures are compared, and some physical considerations are made.

Latex file. 12 pages. Trivial changes, a misprint (subindices) corrected. To appear in J. Phys. A (letters)

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