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


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.