Category J Modules for Hamiltonian Vector Fields on a Torus

2016/10/29 by John Talboom, Talboom, John
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1610.09544

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. This paper classifies the indecomposable and the irreducible modules in category J.

Related

• Classification of Category J Modules for Divergence Zero Vector Fields on a Torus
• Representations of Hamiltonian vector fields on a torus
• Jet modules
• Representations of Hamiltonian Lie algebras
• Representations of Lie algebra of vector fields on a torus and chiral de Rham complex