Geodesic
Composition Series for a Family of Modules of Nongraded Hamiltonial Type Lie Algebras
Journal of Lie theory, Tome 19 (2009) no. 1, pp. 1-27

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

Nongraded infinite-dimensional simple Lie algebras of Hamiltonial type were constructed by Xu related to pairs of locally-finite derivations on certain commutative associative algebras. In this paper, we construct a family of modules with parameters for nongraded Hamiltonial type Lie algebras based on finite-dimensional irreducible modules of symplectic Lie algebras. When the corresponding modules of symplectic Lie algebras are finite-dimensional irreducible weight modules whose weight spaces are all one-dimensional, we get a composition series for these modules and an explicit construction of the composition series are also given by means of the exterior algebra powers.
Classification : 17B10, 17B65
Mots-clés : Nongraded Hamiltonial type Lie algebras, representations of nongraded Hamiltonial type Lie algebras 
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     author = {Y. Zhao },
     title = {Composition {Series} for a {Family} of {Modules} of {Nongraded} {Hamiltonial} {Type} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {1--27},
     publisher = {mathdoc},
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     number = {1},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JLT_2009_19_1_JLT_2009_19_1_a0/}
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Y. Zhao . Composition Series for a Family of Modules of Nongraded Hamiltonial Type Lie Algebras. Journal of Lie theory, Tome 19 (2009) no. 1, pp. 1-27. http://geodesic.mathdoc.fr/item/JLT_2009_19_1_JLT_2009_19_1_a0/