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math.RT2025
Double Poisson (vertex) algebra cohomology
Maxime Fairon, Daniele Valeri
A noncommutative (NC) version of Poisson geometry was initiated by Van den Bergh by introducing at the level of associative algebras the formalism of double Poisson brackets. Their…
math-ph2025
Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
L. Feher, M. Fairon
We develop a set of sufficient conditions for guaranteeing that an integrable system with a symmetry group on a manifold descends to an integrable system on a dense open su…