Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures

This paper addresses the problem of developing an extension of the Marsden-Weinstein reduction process to symplectic-like Lie algebroids, and in particular to the case of the canonical cover of a fiberwise linear Poisson structure, whose reduction process is the analog to cotangent bundle reduction in the context of Lie algebroids.

Dedicated to the memory of Jerrold E Marsden