$k$-Ribbon Fibonacci Tableaux
| dc.creator | Cameron, Naiomi | |
| dc.creator | Killpatrick, Kendra | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T08:28:07Z | |
| dc.date.available | 2026-07-07T08:28:07Z | |
| dc.description | We extend the notion of $k$-ribbon tableaux to the Fibonacci lattice, a differential poset defined by R. Stanley in 1975. Using this notion, we describe an insertion algorithm that takes $k$-colored permutations to pairs of $k$-ribbon Fibonacci tableaux of the same shape, and we demonstrate a color-to-spin property, similar to that described by Shimozono and White for ribbon tableaux. We give an evacuation algorithm which relates the pair of $k$-ribbon Fibonacci tableaux obtained through the insertion algorithm to the pair of $k$-ribbon Fibonacci tableaux obtained using Fomin's growth diagrams. In addition, we present an analogue of Knuth relations for $k$-colored permutations and $k$-ribbon Fibonacci tableaux. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/0709.0971 | |
| dc.identifier | http://arxiv.org/abs/0709.0971 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137506 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E10; 05A17 | |
| dc.title | $k$-Ribbon Fibonacci Tableaux | |
| dc.type | text |