On the dual topology of a class of Cartan motion groups (Q2892865)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the dual topology of a class of Cartan motion groups |
scientific article; zbMATH DE number 6049463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dual topology of a class of Cartan motion groups |
scientific article; zbMATH DE number 6049463 |
Statements
25 June 2012
0 references
symmetric space
0 references
motion group
0 references
induced representation
0 references
unitary representation
0 references
duality
0 references
coadjoint orbit
0 references
On the dual topology of a class of Cartan motion groups (English)
0 references
Let \((G,K)\) be a Riemannian symmetric pair and \(G_0\) the Cartan motion group. The authors consider the relationship between equivalence classes of generic admissible coadjoint orbits \((\widehat{G}_0)_{\text{gen}}\) and equivalence classes of generic irreducible unitary representations \((\mathfrak{g}_0^{\ddagger}//G_0)_{\text{gen}}\). They show, that these two spaces are homeomorphic.
0 references
