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Invariant differential operators on nonreductive homogeneous spaces

Tom H. Koornwinder
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Abstract

A systematic exposition is given of the theory of invariant differential operators on a not necessarily reductive homogeneous space. This exposition is modelled on Helgason's treatment of the general reductive case and the special non-reductive case of the space of horocycles. As a final application the differential operators on (not a priori reductive) isotropic pseudo-Riemannian spaces are characterized.

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BibTeXRIS

Tom H. Koornwinder. 2000-08-16. Invariant differential operators on nonreductive homogeneous spaces. https://arxiv.org/abs/math/0008116

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