English

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

Representation Theory 2017-03-08 v2

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 J\mathcal{J}. This paper classifies the indecomposable and the irreducible modules in category J\mathcal{J}.

Keywords

Cite

@article{arxiv.1610.09544,
  title  = {Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus},
  author = {John Talboom},
  journal= {arXiv preprint arXiv:1610.09544},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T16:36:20.838Z