Download PDFOpen PDF in browserTymoczko Codes for Standard Young TableauxEasyChair Preprint no. 1301216 pages•Date: April 12, 2024AbstractGiven a partition $\lambda$ of integer $n>0$, there exists a diagram (called Young diagram $\mathcal{ Y}_{\lambda}$) associated with $\lambda$. The filling of such diagram from $[n]$ such that the entries increase from top to bottom and from left to right is called the standard Young tableaux ($\rm SYT$) of shape $\lambda$. In this paper, we associate an invariant with each standard Young tableau of shape $\lambda$, and provide some combinatorial interpretations of these invariants. Keyphrases: Composition of integers, Group of permutations, Partition of integers, Schubert Points, Standard tableau
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