Metrics on the Real Quantum Plane
| dc.creator | Fiore, G. | |
| dc.creator | Maceda, M. | |
| dc.creator | Madore, J. | |
| dc.date | 2000-11-22 | |
| dc.date | 2002-09-29 | |
| dc.date.accessioned | 2026-07-07T04:38:45Z | |
| dc.date.available | 2026-07-07T04:38:45Z | |
| dc.description | Using the frame formalism we determine some possible metrics and metric-compatible connections on the noncommutative differential geometry of the real quantum plane. By definition a metric maps the tensor product of two 1-forms into a `function' on the quantum plane. It is symmetric in a modified sense, namely in the definition of symmetry one has to replace the permutator map with a deformed map σfulfilling some suitable conditions. Correspondingly, also the definition of the hermitean conjugate of the tensor product of two 1-forms is modified (but reduces to the standard one if σcoincides with the permutator). The metric is real with respect to such modified *-structure. | |
| dc.description | 21 pages, no figures. Revised version to appear in JMP | |
| dc.identifier | https://arxiv.org/abs/math/0011177 | |
| dc.identifier | http://arxiv.org/abs/math/0011177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60408 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 81R60 | |
| dc.title | Metrics on the Real Quantum Plane | |
| dc.type | text |