A symplectic approach to van den Ban's convexity theorem
| dc.creator | Foth, Philip | |
| dc.creator | Otto, Michael | |
| dc.date | 2005-05-03 | |
| dc.date | 2006-09-25 | |
| dc.date.accessioned | 2026-07-07T06:39:53Z | |
| dc.date.available | 2026-07-07T06:39:53Z | |
| dc.description | Let G be a complex semisimple Lie group and τa complex antilinear involution that commutes with the Cartan involution. If H denotes the connected subgroup of τ-fixed points in G, and K is maximally compact, each H-orbit in G/K can be equipped with a Poisson structure as described by Evens and Lu. We consider symplectic leaves of certain such H-orbits with a natural hamiltonian torus action. A symplectic convexity theorem of Hilgert-Neeb-Plank then leads to van den Ban's convexity theorem for (complex) semisimple symmetric spaces. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505063 | |
| dc.identifier | http://arxiv.org/abs/math/0505063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101247 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D17, 53D20, 22E46 | |
| dc.title | A symplectic approach to van den Ban's convexity theorem | |
| dc.type | text |