Diameters of Homogeneous Spaces
| dc.creator | Freedman, Michael | |
| dc.creator | Kitaev, Alexei | |
| dc.creator | Lurie, Jacob | |
| dc.date | 2002-09-20 | |
| dc.date | 2002-12-04 | |
| dc.date.accessioned | 2026-07-07T06:04:58Z | |
| dc.date.available | 2026-07-07T06:04:58Z | |
| dc.description | Let G be a compact connected Lie group with trivial center. Using the action of G on its Lie algebra, we define an operator norm | |_{G} which induces a bi-invariant metric d_G(x,y)=|Ad(yx^{-1})|_{G} on G. We prove the existence of a constant β\approx .12 (independent of G) such that for any closed subgroup H \subsetneq G, the diameter of the quotient G/H (in the induced metric) is \geq β. | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0209113 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0209113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90504 | |
| dc.subject | Quantum Physics | |
| dc.title | Diameters of Homogeneous Spaces | |
| dc.type | text |