Invariant differential operators on nonreductive homogeneous spaces

Details Invariant differential operators on nonreductive homogeneous spaces Invariant differential operators on nonreductive homogeneous spaces

2000-08-16

arxiv.org/abs/math/0008116v1

Mathematics

Representation Theory

11 pages, electronic version of old 1981 report

Scientific paper

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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