Nambu dynamics, \(n\)-Lie algebras and integrability. (English) Zbl 1261.37030

Vilasi, Gaetano

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 10th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–11, 2008. Sofia: Avangard Prima (ISBN 978-954-323-531-5/pbk). 265-278 (2009).

Reprint of J. Geom. Symmetry Phys. 16, 77–91 (2009; Zbl 1196.37110).
For the entire collection see [Zbl 1169.81004].

MSC:

37K10	Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37J35	Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
22E70	Applications of Lie groups to the sciences; explicit representations
17A42	Other \(n\)-ary compositions \((n \ge 3)\)

Citations:

Zbl 1196.37110