On the Tymoczko Codes for Standard Young Tableaux

  • Felemu Olasupo Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Akungba, Ondo State, Nigeria
  • Praise Adeyemo Department of Mathematics, University of Ibadan, Ibadan, Oyo, Nigeria
Keywords: partition of integers, composition of integers, standard tableau, Schubert points, group of permutations

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 ($ 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.

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Published
2024-08-19
How to Cite
Olasupo, F., & Adeyemo, P. (2024). On the Tymoczko Codes for Standard Young Tableaux. Earthline Journal of Mathematical Sciences, 14(6), 1173-1193. https://doi.org/10.34198/ejms.14624.11731193
Section
Articles