On classification of discrete, scalar-valued Poisson brackets

DOI10.1016/j.geomphys.2012.05.004zbMath1247.53095arXiv1109.4327OpenAlexW1985586541MaRDI QIDQ441215

E. Parodi

Publication date: 20 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4327

zbMATH Keywords

Poisson-Lie groupdiscrete Poisson bracketsVolterra lattice

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Sub-Riemannian geometry (53C17)

Cites Work

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• Differential-geometric Poisson brackets on a lattice
• Hamiltonian operators and algebraic structures related to them
• The problem of integrable discretization: Hamiltonian approach
• On the \(k\)-generalized Fibonacci numbers and high-order linear recurrence relations
• Symmetries as integrability criteria for differential difference equations
• SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
• Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
• Inversion of Toeplitz Band Matrices
• A simple model of the integrable Hamiltonian equation
• Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
• The averaging of Hamiltonian structures in the discrete variant of Whitham's method
• The Hamiltonian Structure of the Bogoyavlensky Lattice
• INTEGRABLE DYNAMICAL SYSTEMS ASSOCIATED WITH THE KdV EQUATION
• Recursion Operator of the Narita–Itoh–Bogoyavlensky Lattice

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