Editing Integer partition (section)

==Young's lattice==
{{main|Young's lattice}}
There is a natural [[partial order]] on partitions given by inclusion of Young diagrams.  This partially ordered set is known as ''[[Young's lattice]]''.  The lattice was originally defined in the context of [[representation theory]], where it is used to describe the [[irreducible representation]]s of [[symmetric group]]s ''S''<sub>''n''</sub> for all ''n'', together with their branching properties, in characteristic zero.  It also has received significant study for its purely combinatorial properties; notably, it is the motivating example of a [[differential poset]].