Poisson Algebras and 3D Superintegrable Hamiltonian Systems

Using a Poisson bracket representation, in 3D, of the Lie algebra sl(2), we first use highest weight representations to embed this into larger Lie algebras. These are then interpreted as symmetry and conformal symmetry algebras of the "kinetic energy", related to the quadratic Casimir func...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Fordy, A.P., Huang, Q.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209442
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Poisson Algebras and 3D Superintegrable Hamiltonian Systems / A.P. Fordy, Q. Huang // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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