Reduction of a symplectic-like Lie algebroid with momentum map and its   application to fiberwise linear Poisson structures
  This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplectic cover of a fiberwise linear Poisson structure, whose reduction process is the analogue to cotangent bundle reduction in the context of Lie algebroids. 
Juan Carlos Marrero, Edith Padron and Miguel Rodriguez-Olmos
math.SG math.DG