Young's lattice 
is the partial order of partitions contained
within a partition 
ordered by containment (Stanton and White 1986; Skiena 1990,
p. 77).
Young's Lattice
See also
Contained Partition, PartitionExplore with Wolfram|Alpha
References
Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.Stanton, D. and White, D. Constructive Combinatorics. New York: Springer-Verlag, 1986.Referenced on Wolfram|Alpha
Young's LatticeCite this as:
Weisstein, Eric W. "Young's Lattice." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/YoungsLattice.html