A sign-reversing involution for rooted special rim-hook tableaux
| dc.creator | Sagan, Bruce E. | |
| dc.creator | Lee, Jaejin | |
| dc.date | 2003-06-06 | |
| dc.date.accessioned | 2026-07-07T04:58:38Z | |
| dc.date.available | 2026-07-07T04:58:38Z | |
| dc.description | Egecioglu and Remmel gave an interpretation for the entries of the inverse Kostka matrix K^{-1} in terms of special rim-hook tableaux. They were able to use this interpretation to give a combinatorial proof that KK^{-1}=I but were unable to do the same for the equation K^{-1}K=I. We define a sign-reversing involution on rooted special rim-hook tableaux which can be used to prove that the last column of this second product is correct. In addition, following a suggestion of Chow we combine our involution with a result of Gasharov to give a combinatorial proof of a special case of the (3+1)-free Conjecture of Stanley and Stembridge. | |
| dc.description | 13 pages, 6 figures, Latex see related papers at http://www.math.msu.edu/~sagan | |
| dc.identifier | https://arxiv.org/abs/math/0306110 | |
| dc.identifier | http://arxiv.org/abs/math/0306110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67715 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E10 (Primary) 05A17, 05E05, 06A11 (Secondary) | |
| dc.title | A sign-reversing involution for rooted special rim-hook tableaux | |
| dc.type | text |