Numeric partition

Young diagram

A Young diagram is a graphical portrayal of a Numeric partition as rows of left aligned boxes¹. comb If (𝜆𝑖)𝑖=1 is a partition then the corresponding Young diagram has 𝜆𝑖 boxes on the 𝑖th row.

Below are all partitions of 4 in ascending order.

[ ]    [ ][ ]    [ ][ ]    [ ][ ][ ]    [ ][ ][ ][ ]
[ ]    [ ]       [ ][ ]    [ ]
[ ]    [ ]
[ ]

Further terminology

• A modified version is a Young tableau, which contains numbers in the boxes.
• Hook length

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tidy | en | SemBr

Footnotes

1. Some author use different conventions, but this is by far the most widespread. ↩