Necessary Conditions for Schur-Positivity
| dc.creator | McNamara, Peter R. W. | |
| dc.date | 2007-06-12 | |
| dc.date | 2007-12-21 | |
| dc.date.accessioned | 2026-07-07T10:06:17Z | |
| dc.date.available | 2026-07-07T10:06:17Z | |
| dc.description | In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference s_A - s_B of their skew Schur functions to be Schur-positive. We determine necessary conditions for the difference to be Schur-positive. Our conditions are motivated by those of Reiner, Shaw and van Willigenburg that are necessary for s_A = s_B, and we deduce a strengthening of their result as a special case. | |
| dc.description | 12 pages, 4 figures. Fixed typos; final version. To appear in the Journal of Algebraic Combinatorics | |
| dc.identifier | https://arxiv.org/abs/0706.1800 | |
| dc.identifier | http://arxiv.org/abs/0706.1800 | |
| dc.identifier | J. Algebraic Combin. 28 (4) (2008) 495-507 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170271 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E05 (Primary); 05E10, 06A07, 20C30 (Secondary) | |
| dc.title | Necessary Conditions for Schur-Positivity | |
| dc.type | text |