The diagonal distribution for the invariant measure of a unitary type symmetric space
| dc.creator | Pickrell, Doug | |
| dc.date | 2005-06-14 | |
| dc.date.accessioned | 2026-07-07T05:20:45Z | |
| dc.date.available | 2026-07-07T05:20:45Z | |
| dc.description | Let U denote a simply connected compact Lie group, let K denote the fixed point set for an involutive automorphism of U, and let m denote the U-invariant probability measure on the symmetric space U/K. Consider the geodesic embedding U/K into U of Cartan. In this paper we compute the diagonal distribution for m, relative to a compatible triangular decomposition of G, the complexification of U. This boils down to a Duistermaat-Heckman exact stationary phase calculation, involving a Poisson structure on the dual symmetric space G_0/K discovered by Evens and Lu. | |
| dc.description | 26 pages, AMSTEX | |
| dc.identifier | https://arxiv.org/abs/math/0506283 | |
| dc.identifier | http://arxiv.org/abs/math/0506283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75495 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Group Theory | |
| dc.title | The diagonal distribution for the invariant measure of a unitary type symmetric space | |
| dc.type | text |