A symmetry theorem on a modified jeu de taquin
| dc.creator | Fischer, Ilse | |
| dc.date | 2001-12-23 | |
| dc.date.accessioned | 2026-07-07T04:45:28Z | |
| dc.date.available | 2026-07-07T04:45:28Z | |
| dc.description | For their bijective proof of the hook-length formula for the number of standard tableaux of a fixed shape Novelli, Pak and Stoyanovskii define a modified jeu de taquin which transforms an arbitrary filling of the Ferrers diagram with $1,2,...,n$ (tabloid) into a standard tableau. Their definition relies on a total order of the cells in the Ferrers diagram induced by a special standard tableau, however, this definition also makes sense for the total order induced by any other standard tableau. Given two standard tableaux $P,Q$ of the same shape we show that the number of tabloids which result in $P$ if we perform modified jeu de taquin with respect to the total order induced by $Q$ is equal to the number of tabloids which result in $Q$ if we perform modified jeu de taquin with respect to $P$. This symmetry theorem extends to skew shapes and shifted skew shapes. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0112263 | |
| dc.identifier | http://arxiv.org/abs/math/0112263 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62969 | |
| dc.subject | Combinatorics | |
| dc.title | A symmetry theorem on a modified jeu de taquin | |
| dc.type | text |