Date Thesis Awarded
3-2014
Document Type
Honors Thesis
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Ryan Vinroot
Committee Member
Paul Heideman
Committee Member
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.
Recommended Citation
Janopaul-Naylor, James R., "Combinatorially Derived Properties of Young Tableaux" (2014). Undergraduate Honors Theses. Paper 1.
https://scholarworks.wm.edu/honorstheses/1