Date

2016

Department or Program

Mathematics

Primary Wellesley Thesis Advisor

Andrew Schultz

Abstract

We want to generalize the alternating sign matrix conjecture. We identify the 1-to-1 correspondence between type $\mathcal{A}^{\lambda}$ ice models, whose boundary conditions are determined by integer partitions, and strict Gelfand-Tsetlin patterns. We use these connections to derive a recursive relationships on the enumeration of ice models determined by integer partitions.

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