Journal of Lie Theory

no. 4
Category J Modules for Hamiltonian Vector Fields on a Torus
Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 903-914
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, and have finite dimensional weight spaces, are called category J. This paper classifies the indecomposable and the irreducible modules in category J.
DOI: 10.5802/jolt.1033
Classification: 17B10, 17B66
Keywords: Indecomposable representations, irreducible representations, Lie algebra of Hamiltonian vector fields, weight module 
@article{JOLT_2018_28_4_a1,
     author = {J. Talboom},
     title = {Category {J} {Modules} for {Hamiltonian} {Vector} {Fields} on a {Torus}},
     journal = {Journal of Lie Theory},
     pages = {903--914},
     year = {2018},
     volume = {28},
     number = {4},
     doi = {10.5802/jolt.1033},
     zbl = {1441.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1033/}
}
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%D 2018
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J. Talboom. Category J Modules for Hamiltonian Vector Fields on a Torus. Journal of Lie Theory, Volume 28 (2018) no. 4, pp. 903-914. doi: 10.5802/jolt.1033

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