Rectification of Composition Tableaux
| dc.contributor.author | Bechard, Melissa Kate | en_US |
| dc.date.accessioned | 2012-06-12T08:36:06Z | |
| dc.date.available | 2012-06-12T08:36:06Z | |
| dc.date.issued | 2012 | en_US |
| dc.description.abstract | In this thesis we define an algorithm for rectifying one cell in a composition tableau. We then describe a generalization of this rectification process. The generalization is from one cell in the first column to any number of cells in the first column, provided they are bottom-justified. We show this rectification of a composition tableau commutes with the rectification of a reverse semi-standard Young tableau. Rectification of reverse semi-standard Young tableaux is used to define evacuation of reverse semi-standard Young tableaux. We define evacuation for composition tableaux using our rectification process for composition tableaux. | en_US |
| dc.identifier.uri | https://wakespace.lib.wfu.edu/handle/10339/37312 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wake Forest University | en_US |
| dc.subject | Composition Tableaux | en_US |
| dc.subject | Evacuation | en_US |
| dc.subject | Quasisymmetric polynomials | en_US |
| dc.subject | Rectification | en_US |
| dc.subject | Schur polynomials | en_US |
| dc.subject | Tableaux | en_US |
| dc.title | Rectification of Composition Tableaux | en_US |
| dc.type | Thesis | en_US |
| thesis.contributor.committeeChair | Mason, Sarah K | en_US |
| thesis.contributor.committeeMember | Kirkman, Ellen | en_US |
| thesis.contributor.committeeMember | Allen, Edward E | en_US |
| thesis.degree.discipline | Mathematics | en_US |