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On the higher-order generalizations of Poisson structures

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, , Citation J A de Azcárraga et al 1997 J. Phys. A: Math. Gen. 30 L607 DOI 10.1088/0305-4470/30/18/001

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1 Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge, CB3 9EW, UK

2 Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain

Dates

  1. Received 30 May 1997

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0305-4470/30/18/L607

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.

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