Date Thesis Awarded

3-2014

Access Type

Honors Thesis -- Open Access

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Ryan Vinroot

Committee Members

Paul Heideman

Gexin Yu

Abstract

We examine properties of Young tableaux of shape λ and weight μ or of shape {λ(i)}, a sequence of partitions. First we use combinatorial arguments to re- derive results about individual tableaux from Behrenstein and Zelevinskii regard- ing Kostka numbers and from Gates, Goldman, and Vinroot regarding when the weight μ on a tableau of shape λ is the unique weight with Kλμ = 1. Second we generalize these results to sequences of tableaux. Specifically we show under what conditions is K{λ(i)}μ = 1 for a sequence of partitions {λ(i)} and weight μ and when is there a unique weight μ for a sequence of partitions with K{λ(i)}μ = 1.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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