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math-ph2026
Superintegrability of stratified symplectic spaces
Zhuo Chen, Kai Jiang, Nicolai Reshetikhin +1
We define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase spac…
math-ph2026
Poisson Centralisers and Polynomial Superintegrability for Magnetic Geodesic Flows on Reductive Homogeneous Spaces
Kai Jiang, Guorui Ma, Ian Marquette +2
We provide a method for formulating superintegrable magnetic geodesic flows on reductive homogeneous spaces , with a compact semisimple Lie group and a closed subgro…