On Perfection Relations in Lattices
| dc.creator | Martinet, Anne-Marie Bergé Jacques | |
| dc.date | 2006-11-08 | |
| dc.date.accessioned | 2026-07-07T07:32:38Z | |
| dc.date.available | 2026-07-07T07:32:38Z | |
| dc.description | Let $\Lb$ be a lattice in a Euclidean space $E$, with kissing number $s$ and perfection rank $r$, that is, the rank in $\End^{\text{sym}}(E)$ of the set of orthogonal projections to minimal vectors of $\Lb$. This defines a space of \emph{perfection relations}, of dimension $s-r$. We focus on ``short relations'', in connection with the index theory, previously developed by Watson, Ryškov, Zahareva and the second author in [W], [R], [Z] and [M1]. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611220 | |
| dc.identifier | http://arxiv.org/abs/math/0611220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119182 | |
| dc.subject | Number Theory | |
| dc.subject | 11H55 | |
| dc.title | On Perfection Relations in Lattices | |
| dc.type | text |