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Journal of Lie Theory 22 (2012), No. 2, 523--539
Copyright Heldermann Verlag 2012

Integrability of Weight Modules of Degree 1

Guillaume Tomasini
IRMA, Université de Strasbourg, 7, rue René Descartes, 67084 Strasbourg, France

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.

Keywords: Weight modules, representations of Lie groups, Gelfand-Kirillov dimension.

MSC: 22E46, 22E45, 22E47, 17B10

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