Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus
  Modules for the Lie algebra of Hamiltonian vector fields on a torus, which admit a compatible action for the commutative algebra of multivariate Laurent polynomials are called category $\mathcal{J}$. This paper classifies the indecomposable and the irreducible modules in category $\mathcal{J}$. 
John Talboom
math.RT