Geodesic
Generalized Multiplicity-Free Representations of Nongraded Divergence-Free Lie Algebras
Journal of Lie theory, Tome 23 (2013) no. 2, pp. 507-549.

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

Divergence-free Lie algebras originate from the Lie algebras of volume-preserving transformation groups. Xu constructed a certain nongraded generalization, which do not contain any toral Cartan subalgebra in generic case. In this paper, we give a complete classification of the generalized weight modules over these algebras with weight multiplicities less than or equal to one.
Classification : 17B10, 17B65
Mots-clés : Divergence-free Lie algebra, Cartan type, irreducible module, generalized weight module, classification 
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     author = {L. Chen },
     title = {Generalized {Multiplicity-Free} {Representations} of {Nongraded} {Divergence-Free} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {507--549},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a8/}
}
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L. Chen . Generalized Multiplicity-Free Representations of Nongraded Divergence-Free Lie Algebras. Journal of Lie theory, Tome 23 (2013) no. 2, pp. 507-549. http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a8/