3 papers
math.RT2016
Category Modules for Hamiltonian Vector Fields on a Torus
John Talboom
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 cate…
math.RT2016
Classification of Category Modules for Divergence Zero Vector Fields on a Torus
Yuly Billig, John Talboom
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 an…
math.RT2014
Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus
John Talboom
This paper investigates the irreducibility of certain representations for the Lie algebra of divergence zero vector fields on a torus. In "Irreducible Representations of the Lie-Al…