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math.SG2024
Reduction of Poisson manifolds with Hamiltonian Lie algebroids
Yuji Hirota, Noriaki Ikeda
Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian…
math.SG2024★ 1 cited
Comomentum sections and Poisson maps in Hamiltonian Lie algebroids
Yuji Hirota, Noriaki Ikeda
In a Hamiltonian Lie algebroid over a pre-symplectic manifold and over a Poisson manifold, we introduce a map corresponding to a comomentum map, called a comomentum section. We sho…