Tymoczko Codes for Standard Young Tableaux

EasyChair Preprint no. 13012

Abstract

 Given 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

@Booklet{EasyChair:13012,
  author = {Olasupo Felemu},
  title = {Tymoczko Codes for Standard Young Tableaux},
  howpublished = {EasyChair Preprint no. 13012},

  year = {EasyChair, 2024}}