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On the Tymoczko Codes for Standard Young Tableaux

Title: On the Tymoczko Codes for Standard Young Tableaux
Authors: Olasupo, Felemu; Adeyemo, Praise
Source: Earthline Journal of Mathematical Sciences; Vol 14 No 6 (2024); 1173-1193 ; 2581-8147
Publisher Information: Earthline Publishers, Madanambedu, Chittoor, Andhra Pradesh, India
Publication Year: 2024
Subject Terms: partition of integers; composition of integers; standard tableau; Schubert points; group of permutations
Description: Given a partition $\lambda$ of integer $n0$, 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.
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: https://earthlinepublishers.com/index.php/ejms/article/view/916/561; https://earthlinepublishers.com/index.php/ejms/article/view/916
DOI: 10.34198/ejms.14624.11731193
Availability: https://earthlinepublishers.com/index.php/ejms/article/view/916; https://doi.org/10.34198/ejms.14624.11731193
Accession Number: edsbas.59FE3827
Database: BASE