Geodesic
Generalized Multiplicity-Free Representations of Nongraded Divergence-Free Lie Algebras
Ling Chen1
1Beijing International Center for Mathematical Research, Peking University, Beijing 100871, P. R. China
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

Ling Chen  1

1 Beijing International Center for Mathematical Research, Peking University, Beijing 100871, P. R. China 
Ling 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/JOLT_2013_23_2_a8/
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     title = {Generalized {Multiplicity-Free} {Representations} of {Nongraded} {Divergence-Free} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {507--549},
     year = {2013},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a8/}
}
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