Geodesic
Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras
Sbornik. Mathematics, Tome 35 (1979) no. 4, pp. 541-554 
A. V. Shapovalov. Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras. Sbornik. Mathematics, Tome 35 (1979) no. 4, pp. 541-554. http://geodesic.mathdoc.fr/item/SM_1979_35_4_a6/
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     author = {A. V. Shapovalov},
     title = {Finite-dimensional irreducible representations of {Hamiltonian} {Lie} superalgebras},
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     volume = {35},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1979_35_4_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We describe all of the irreducible representations of the simple algebras of the series $H(n)$, and we realize these representations either as irreducible induced representations of a Lie subalgebra of $H(n)$ or as subrepresentations of the representation of the Hamiltonian vector fields in the space of differential forms on a supermanifold; these cases are mutually exclusive. Bibliography: 7 titles.

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