nLab
higher Poisson structure

There are various proposals for and definitions of higher order generalization of the concept of Poisson brackets.

Dedicated nnlab entries exist so far for the following cases:

Definitons analogous to Nambu brackets are discussed in

  • José de Azcárraga, J. M. Izquierdo, J. C. Perez Bueno, On the generalizations of Poisson structures, J.Phys. A30 (1997) L607-L616 (arXiv:hep-th/9703019)

  • Raúl Ibáñez, Juan C. Marrero, and David Martn de Diego, Dynamics of generalized Poisson and Nambu–Poisson brackets, Journal of Mathematical Physics 38, 2332 (1997); doi: 10.1063/1.531960

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Definitions that yield Filippov n-Lie algebras include

  • Janusz Grabowski, Giuseppe Marmo, On Filippov algebroids and multiplicative Nambu-Poisson structures, Differ. Geom. Appl. 12:35-50,2000 (arXiv:math/9902127)

Created on August 4, 2015 at 13:47:57. See the history of this page for a list of all contributions to it.