Nambu dynamics, \(n\)-Lie algebras and integrability
type: Item
instance of: scholarly article
title: Nambu dynamics, \(n\)-Lie algebras and integrability
zbMATH Open document ID: 1196.37110
author: Gaetano Vilasi
published in: Journal of Geometry and Symmetry in Physics
publication date: 2010-07-09T00:00:00Z
review text: The generalization of a bracket Poisson on a case several Hamiltonians is offered. The connection of this theory with Nambu's dynamics and analogy to brackets of \(n\)-Lie algebras is shown. As an example the system of spin particles is considered.
reviewed by: Vladislav Nikolaevich Dumachev
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 17A42
zbMATH DE Number: 5734851
zbMATH Keywords: multi-Hamiltonians systems
zbMATH Keywords: Nambu's dynamics
zbMATH Keywords: \(n\)-Lie algebras
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5734851