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

Published 29 Oct 2016 in math.RT | (1610.09544v2)

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 $\mathcal{J}$.

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