G-actions on graphs
| dc.creator | Guillemin, Victor | |
| dc.creator | Zara, Catalin | |
| dc.date | 2000-07-26 | |
| dc.date.accessioned | 2026-07-07T04:36:32Z | |
| dc.date.available | 2026-07-07T04:36:32Z | |
| dc.description | Let G be an n-dimensional torus and $τ$ a Hamiltonian action of G on a compact symplectic manifold, M. If M is pre-quantizable one can associate with $τ$ a representation of G on a virtual vector space, Q(M), by $\spin^{\CC}$-quantization. If M is a symplectic GKM manifold we will show that several well-known theorems about this ``quantum action'' of G: for example, the convexity theorem, the Kostant multiplicity theorem and the ``quantization commutes with reduction'' theorem for circle subgroups of G, are basically just theorems about G-actions on graphs. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0007165 | |
| dc.identifier | http://arxiv.org/abs/math/0007165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59629 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Representation Theory | |
| dc.title | G-actions on graphs | |
| dc.type | text |