English

Classification of Category $\mathcal{J}$ Modules for Divergence Zero Vector Fields on a Torus

Representation Theory 2018-09-20 v3

Abstract

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.

Keywords

Cite

@article{arxiv.1607.07067,
  title  = {Classification of Category $\mathcal{J}$ Modules for Divergence Zero Vector Fields on a Torus},
  author = {Yuly Billig and John Talboom},
  journal= {arXiv preprint arXiv:1607.07067},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-22T15:02:50.813Z