%0 Journal Article %T Finite-dimensional simple Poisson modules %A David Jordan %J Mathematics %D 2007 %I arXiv %X We prove a result that can be applied to determine the finite-dimensional simple Poisson modules over a Poisson algebra and apply it to numerous examples. In the discussion of the examples, the emphasis is on the correspondence with the finite-dimensional simple modules over deformations and on the behaviour of finite-dimensional simple Poisson modules on the passage from a Poisson algebra to the Poisson subalgebra of invariants for the action of a finite group of Poisson automorphisms. %U http://arxiv.org/abs/0708.3928v2