Title

Differential Posets and k-ribbon Tableaux

Authors

Lisa Bishop

Document Type

Article

Publication Date

2005

Abstract

In this study we examine a class of partially ordered sets (posets). Differential posets were first introduced by R. Stanley in 1988 and are a group of posets which meet criteria set forth by Stanley. After examining Young's lattice, Stanley's classic example of a 1-differential poset, we investigate the posets created by 2-ribbons and 3-ribbons. In a 2001 paper M. Shimozono and D. White prove indirectly through the use of a 2-quotient that a 2-ribbon tableaux is 2-differential. Using a direct combinatorial proof we show that for the k = 2 and k = 3 case that k-ribbon tableaux are k-differential.

Advisor

Naiomi Cameron

Department

math

Support

Ford Research Endowment

This document is currently not available here.

Share

COinS