+ 1 + 1 2 + 2 + 2 3 + 3 4 The subset of Young's lattice lying below these partitions has both bilateral symmetry and 5-fold rotational symmetry. Hence the dihedral group D5 acts faithfully on this subset of Young's lattice. See also Young–Fibonacci lattice Bratteli diagram References Integer partitions Lattice theory Representation theory Symmetric functions