Journal of Lie Theory

no. 2
Generalized Multiplicity-Free Representations of Nongraded Divergence-Free Lie Algebras
Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 507-549
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.
DOI: 10.5802/jolt.736
Classification: 17B10, 17B65
Keywords: Divergence-free Lie algebra, Cartan type, irreducible module, generalized weight module, classification 
@article{JOLT_2013_23_2_a8,
     author = {L. Chen},
     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},
     doi = {10.5802/jolt.736},
     zbl = {1301.17008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.736/}
}
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L. Chen. Generalized Multiplicity-Free Representations of Nongraded Divergence-Free Lie Algebras. Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 507-549. doi: 10.5802/jolt.736

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