Scalar irreducibility of eigenspaces on the tangent space of a reductive symmetric space
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Journal of Functional Analysis |
Vol/bind | 74 |
Udgave nummer | 2 |
Sider (fra-til) | 292-299 |
Antal sider | 8 |
ISSN | 0022-1236 |
DOI | |
Status | Udgivet - okt. 1987 |
ID: 304299028