Young diagram

A Young diagram is a graphical portrayal of a Numeric partition as rows of left aligned boxes¹. #m/def/comb If $(𝜆 𝑖) 𝑖 = 1$ is a partition then the corresponding Young diagram has $𝜆 𝑖$ boxes on the $𝑖$ th row.

Below are all partitions of $4$ in ascending order.

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Further terminology

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

#state/tidy | #lang/en | #SemBr

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

Young diagram

Further terminology

Footnotes