Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus

Abstract

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 $\mathcal{J}$.

13 pages

References in corpus (1)

• Partial classification of cuspidal simple modules for Virasoro-like algebra