Young's lattice (source code)

= Young's lattice
{wiki=Young's_lattice}

Young's lattice is a combinatorial structure used in the representation theory of symmetric groups and, more broadly, in the study of symmetric functions and partition theory. It is formed by considering all partitions of a given integer and organizing them in a specific way. In particular, a Young diagram represents a partition, where a partition of a positive integer \\( n \\) is a way of writing \\( n \\) as a sum of positive integers, where the order of addends does not matter.