Classification of Category $\mathcal{J}$ Modules for Divergence Zero   Vector Fields on a Torus
  We consider a category of modules that admit compatible actions of the commutative algebra of Laurent polynomials and the Lie algebra of divergence zero vector fields on a torus and have a weight decomposition with finite dimensional weight spaces. We classify indecomposable and irreducible modules in this category. 
Yuly Billig and John Talboom
math.RT