3 papers
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
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…
math.SG2023
Geometry of bundle-valued multisymplectic structures with Lie algebroids
Yuji Hirota, Noriaki Ikeda
We study multisymplectic structures taking values in vector bundles with connections from the viewpoint of the Hamiltonian symmetry. We introduce the notion of bundle-valued -pl…