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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2018
Hauptverfasser: Fordy, A.P., Huang, Q.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/209442
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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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