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.
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