## Young Diagram

A Young diagram, also called a Ferrers Diagram, represents Partitions as patterns of dots, with the th row having the same number of dots as the th term in the Partition. A Young diagram of the Partition

for a list , , ..., of Positive Integers with is therefore the arrangement of dots or square boxes in rows, such that the dots or boxes are left-justified, the first row is of length , the second row is of length , and so on, with the th row of length . The above diagram corresponds to one of the possible partitions of 100.

See also Durfee Square, Hook Length Formula, Partition, Partition Function P, Young Tableau

References

Messiah, A. Appendix D in Quantum Mechanics, 2 vols. Amsterdam, Netherlands: North-Holland, p. 1113, 1961-62.