Deformation of Lie–Poisson algebras and chirality

DOI10.1063/1.5145218zbMath1475.17040arXiv2001.03744OpenAlexW3106287749MaRDI QIDQ5141015

Philip J. Morrison, Zensho Yoshida

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03744

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Hamilton's equations (70H05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (4)

A Hamiltonian description of finite-time singularity in Euler's fluid equations ⋮ Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints ⋮ Singular cotangent models in fluids with dissipation ⋮ Formal stability in Hamiltonian fluid models for plasmas

Cites Work

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• Invariants of real low dimension Lie algebras
• On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
• An invitation to singular symplectic geometry
• Hamiltonian moment reduction for describing vortices in shear

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