On the sign-imbalance of skew partition shapes
| dc.creator | Sjostrand, Jonas | |
| dc.date | 2005-07-16 | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T06:42:38Z | |
| dc.date.available | 2026-07-07T06:42:38Z | |
| dc.description | Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan and Stanley. The result is a remarkably simple generalization of the ordinary non-skew formula. The sum of the signs of all standard tableaux on a given skew shape is the sign-imbalance of that shape. We generalize previous results on the sign-imbalance of ordinary partition shapes to skew ones. | |
| dc.description | 14 pages; former section 8 is removed and the rest is slightly updated | |
| dc.identifier | https://arxiv.org/abs/math/0507338 | |
| dc.identifier | http://arxiv.org/abs/math/0507338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102113 | |
| dc.subject | Combinatorics | |
| dc.subject | 06A07; 05E10 | |
| dc.title | On the sign-imbalance of skew partition shapes | |
| dc.type | text |