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Showing 2021 · math-phShow all
3 papers · 2 filters
math-ph2021★ 1 cited
A decoupling property of some Poisson structures on supporting Poisson-Lie symmetry
M. Fairon, L. Feher
We study a holomorphic Poisson structure defined on the linear space that is covariant under t…
math-ph2021★ 1 cited
Bi-Hamiltonian structure of Sutherland models coupled to two -valued spins from Poisson reduction
L. Feher
We introduce a bi-Hamiltonian hierarchy on the cotangent bundle of the real Lie group , and study its Poisson reduction with respect to the action of…
math-ph2021★ 6 cited
Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case
L. Feher
We construct a bi-Hamiltonian structure for the holomorphic spin Sutherland hierarchy based on collective spin variables. The construction relies on Poisson reduction of a bi-Hamil…