Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space
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Let X0 be the tangent space at eH of the reductive symmetric space G H, and let G0 denote the group of affine transformations of X0 generated by the translations and the natural action of H. We show that any joint eigenspace of the G0-invariant differential operators on X0 is scalarly irreducible under the action of G0. This holds in particular for a Riemannian symmetric space of the non-compact type, where G0 is the Cartan motion group.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 74 |
Issue number | 2 |
Pages (from-to) | 292-299 |
Number of pages | 8 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - Oct 1987 |
ID: 304299028