
Journal of Lie Theory 28 (2018), No. 4, 903914 Copyright Heldermann Verlag 2018 Category J Modules for Hamiltonian Vector Fields on a Torus John Talboom Dept. of Mathematics, Trent University, 1600 West Bank Drive, Peterborough, Ontario, Canada K9L 0G2 johntalboom@trentu.ca 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, and have finite dimensional weight spaces, are called category J. This paper classifies the indecomposable and the irreducible modules in category J. Keywords: Indecomposable representations, irreducible representations, Lie algebra of Hamiltonian vector fields, weight module. MSC: 17B10, 17B66 [ Fulltextpdf (122 KB)] for subscribers only. 