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arxiv: 1802.00356 · v1 · pith:FUD64PYNnew · submitted 2018-02-01 · 🧮 math-ph · math.MP

Superintegrability of Generalized Toda Models on Symmetric Spaces

Nicolai Reshetikhin , Gus Schrader This is my paper
classification 🧮 math-ph math.MP
keywords poissonsuperintegrabilitybackslashcartanfixedfunctionsgeneralizedgenerated
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In this paper we prove superintegrability of Hamiltonian systems generated by functions on $K\backslash G/K$, restriced to a symplectic leaf of the Poisson variety $G/K$, where $G$ is a simple Lie group with the standard Poisson Lie structure, $K$ is the subgroup of fixed points with respect to the Cartan involution.

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  1. Integrable systems from Poisson reductions of generalized Hamiltonian torus actions

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    Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.