Geodesic
Category J Modules for Hamiltonian Vector Fields on a Torus
John Talboom1
1Dept. of Mathematics, Trent University, 1600 West Bank Drive, Peterborough, Ontario, Canada K9L 0G2
Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 903-914

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B10, 17B66
Mots-clés : Indecomposable representations, irreducible representations, Lie algebra of Hamiltonian vector fields, weight module

John Talboom  1

1 Dept. of Mathematics, Trent University, 1600 West Bank Drive, Peterborough, Ontario, Canada K9L 0G2 
John Talboom. Category J Modules for Hamiltonian Vector Fields on a Torus. Journal of Lie Theory, Tome 28 (2018) no. 4, pp. 903-914. http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a1/
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     author = {John 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_4_a1/}
}
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