Alternating sign matrices with one -1 under vertical reflection
| dc.creator | Lalonde, Pierre | |
| dc.date | 2004-01-25 | |
| dc.date.accessioned | 2026-07-07T05:04:50Z | |
| dc.date.available | 2026-07-07T05:04:50Z | |
| dc.description | We define a bijection that transforms an alternating sign matrix A with one -1 into a pair (N,E) where N is a (so called) ``neutral'' alternating sign matrix (with one -1) and E is an integer. The bijection preserves the classical parameters of Mills, Robbins and Rumsey as well as three new parameters (including E). It translates vertical reflection of A into vertical reflection of N. A hidden symmetry allows the interchange of E with one of the remaining two new parameters. A second bijection transforms (N,E) into a configuration of lattice paths called ``mixed configuration''. | |
| dc.description | 15 pages with 9 figures | |
| dc.identifier | https://arxiv.org/abs/math/0401339 | |
| dc.identifier | http://arxiv.org/abs/math/0401339 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69961 | |
| dc.subject | Combinatorics | |
| dc.title | Alternating sign matrices with one -1 under vertical reflection | |
| dc.type | text |