Journal of Lie Theory

no. 2
Integrability of Weight Modules of Degree 1
Journal of Lie Theory, Volume 22 (2012) no. 2, pp. 523-539
The aim of this article is to find all weight modules of degree 1 of a simple complex Lie algebra that integrate to a continuous representation of a simply-connected real Lie group on some Hilbert space.
DOI: 10.5802/jolt.680
Classification: 22E46, 22E45, 22E47, 17B10
Keywords: Weight modules, representations of Lie groups, Gelfand-Kirillov dimension 
@article{JOLT_2012_22_2_a9,
     author = {G. Tomasini},
     title = {Integrability of {Weight} {Modules} of {Degree} 1},
     journal = {Journal of Lie Theory},
     pages = {523--539},
     year = {2012},
     volume = {22},
     number = {2},
     doi = {10.5802/jolt.680},
     zbl = {1243.22014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.680/}
}
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G. Tomasini. Integrability of Weight Modules of Degree 1. Journal of Lie Theory, Volume 22 (2012) no. 2, pp. 523-539. doi: 10.5802/jolt.680

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