Young Diagram
A tool in algebraic combinatorics and Representation Theory that establishes a one-to-one correspondence between irreducible representations of the symmetric group and partitions→Young diagrams→Tableaux, allowing analysis of dimensions, bases, and other properties of these representations
Young tableau
In mathematics, a Young tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.
https://en.wikipedia.org/wiki/Young_tableau

Seonglae Cho