The isotropic lines of Z_{d}^{2}
| dc.creator | Albouy, Olivier | |
| dc.date | 2008-09-18 | |
| dc.date | 2009-01-07 | |
| dc.date.accessioned | 2026-07-07T12:37:10Z | |
| dc.date.available | 2026-07-07T12:37:10Z | |
| dc.description | We show that the isotropic lines in the lattice Z_{d}^{2} are the Lagrangian submodules of that lattice and we give their number together with the number of them through a given point of the lattice. The set of isotropic lines decompose into orbits under the action of SL(2,Z_d). We give an explicit description of those orbits as well as their number and their respective cardinalities. We also develop two group actions on the group Σ_{D}(M) related to the topic. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0809.3220 | |
| dc.identifier | http://arxiv.org/abs/0809.3220 | |
| dc.identifier | J. Phys. A: Math. Theor. 42 (2009) 072001 | |
| dc.identifier | doi:10.1088/1751-8113/42/7/072001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218345 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | The isotropic lines of Z_{d}^{2} | |
| dc.type | text |