Coincidence rotations of the root lattice $A_4$
| dc.creator | Baake, Michael | |
| dc.creator | Grimm, Uwe | |
| dc.creator | Heuer, Manuela | |
| dc.creator | Zeiner, Peter | |
| dc.date | 2007-09-10 | |
| dc.date.accessioned | 2026-07-07T10:11:52Z | |
| dc.date.available | 2026-07-07T10:11:52Z | |
| dc.description | The coincidence site lattices of the root lattice $A_4$ are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of $A_4$ into the icosian ring with its rich arithmetic structure, which recently (arXiv:math.MG/0702448) led to the classification of the similar sublattices of $A_4$. | |
| dc.description | 13 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0709.1341 | |
| dc.identifier | http://arxiv.org/abs/0709.1341 | |
| dc.identifier | European Journal of Combinatorics 29 (2008) 1808-1819 | |
| dc.identifier | doi:10.1016/j.ejc.2008.01.012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171997 | |
| dc.subject | Metric Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 52C07; 11R52; 05A15 | |
| dc.title | Coincidence rotations of the root lattice $A_4$ | |
| dc.type | text |