62 citations · 279 across the 22 of their papers we have counts for
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nlin.SI2017★ 11 cited
Classical and Quantum Super-integrability: From Lissajous Figures to Exact Solvability
Allan P. Fordy
The first part of this paper explains what super-integrability is and how it differs in the classical and quantum cases. This is illustrated with an elementary example of the reson…
nlin.SI2017★ 7 cited
Poisson Algebras and 3D Superintegrable Hamiltonian Systems
Allan P. Fordy, Qing Huang
Using a Poisson bracket representation, in 3D, of the Lie algebra , we first use highest weight representations to embed this into larger Lie algebras. These are…
nlin.SI2017★ 2 cited
Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice
Allan P. Fordy, Pavlos Xenitidis
We recently introduced a class of graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduce…