Rectification of Composition Tableaux
Electronic Theses and Dissertations
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Item Details
- title
- Rectification of Composition Tableaux
- author
- Bechard, Melissa Kate
- 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.
- subject
- Composition Tableaux
- Evacuation
- Quasisymmetric polynomials
- Rectification
- Schur polynomials
- Tableaux
- contributor
- Mason, Sarah K (committee chair)
- Kirkman, Ellen (committee member)
- Allen, Edward E (committee member)
- date
- 2012-06-12T08:36:06Z (accessioned)
- 2012-06-12T08:36:06Z (available)
- 2012 (issued)
- degree
- Mathematics (discipline)
- identifier
- http://hdl.handle.net/10339/37312 (uri)
- language
- en (iso)
- publisher
- Wake Forest University
- type
- Thesis