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...
Saved in:
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
-
Generalised Darboux-Koenigs Metrics and 3-Dimensional Superintegrable Systems
by: Fordy, A.P., et al.
Published: (2019) -
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
by: Post, S.
Published: (2011) -
Intertwining Symmetry Algebras of Quantum Superintegrable Systems
by: Calzada, J.A., et al.
Published: (2009) -
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
by: Kalnins, E.G., et al.
Published: (2008) -
Superintegrable Extensions of Superintegrable Systems
by: Chanu, C.M., et al.
Published: (2012)