Automorphism groups of root systems matroids
| dc.creator | Sikiric, Mathieu Dutour | |
| dc.creator | Felikson, Anna | |
| dc.creator | Tumarkin, Pavel | |
| dc.date | 2007-11-29 | |
| dc.date | 2008-11-25 | |
| dc.date.accessioned | 2026-07-07T10:20:22Z | |
| dc.date.available | 2026-07-07T10:20:22Z | |
| dc.description | Given a root system $\mathsf{R}$, the vector system $\tilde{\mathsf{R}}$ is obtained by taking a representative $v$ in each antipodal pair $\{v, -v\}$. The matroid $M(\mathsf{R})$ is formed by all independent subsets of $\tilde{\mathsf{R}}$. The automorphism group of a matroid is the group of permutations preserving its independent subsets. We prove that the automorphism groups of all irreducible root systems matroids $M(\mathsf{R})$ are uniquely determined by their independent sets of size 3. As a corollary, we compute these groups explicitly, and thus complete the classification of the automorphism groups of root systems matroids. | |
| dc.description | 9 pages, 1 table | |
| dc.identifier | https://arxiv.org/abs/0711.4670 | |
| dc.identifier | http://arxiv.org/abs/0711.4670 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174824 | |
| dc.subject | Combinatorics | |
| dc.title | Automorphism groups of root systems matroids | |
| dc.type | text |