Non-rigidity degrees of root lattices and their duals
| dc.creator | Deza, Michel | |
| dc.creator | Grishukhin, Viacheslav | |
| dc.date | 2002-02-11 | |
| dc.date.accessioned | 2026-07-07T04:46:23Z | |
| dc.date.available | 2026-07-07T04:46:23Z | |
| dc.description | Non-rigidity degree of a lattice $L$, nrd$L$, is dimension of the L-type domain to which $L$ belongs. We complete here the table of nrd's of all root lattices and their duals; namely, the hardest remaining case of $D_n^*$, and the case of $E_7^*$ are decided. We describe explicitly the $L$-type domain ${\cal D}(D_n^*)$, $n \ge 4$. For $n$ odd, it is a non-simplicial polyhedral open cone of dimension $n$. For $n$ even, it is one-dimensional, i.e. for even $n$, $D_n^*$ is an edge form. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0202096 | |
| dc.identifier | http://arxiv.org/abs/math/0202096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63310 | |
| dc.subject | Geometric Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 11H06, 11H55,52B22,05B45 | |
| dc.title | Non-rigidity degrees of root lattices and their duals | |
| dc.type | text |