Some results on Multiplicity-free spaces
| dc.creator | Biliotti, Leonardo | |
| dc.date | 2004-02-17 | |
| dc.date | 2006-05-22 | |
| dc.date.accessioned | 2026-07-07T06:35:59Z | |
| dc.date.available | 2026-07-07T06:35:59Z | |
| dc.description | Let $(M,ω)$ be a connected symplectic manifold on which a connected Lie group $G$ acts properly and in a Hamiltonian fashion with moment map $μ:M \lra \mf g^*$. Our purpose is investigate multiplicity-free actions, giving criteria to decide a multiplicity freenes of the action. As an application we give the complete classification of multiplicity-free actions of compact Lie groups acting isometrically and in a Hamiltonian fashion on Hermitian symmetric spaces of noncompact type. Successively we make a connection between multiplicity-free actions on $M$ and multiplicity-free actions on the symplectic reduction and on the symplectic cut, which allow us to give new examples of multiplicity-free actions. | |
| dc.description | v1: 7 pages, added refernces and changed content v2: 22 may 2006, 12 pages, completely rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0402277 | |
| dc.identifier | http://arxiv.org/abs/math/0402277 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99958 | |
| dc.subject | Differential Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | primary 53C55. secondary 57S15 | |
| dc.title | Some results on Multiplicity-free spaces | |
| dc.type | text |