Symmetries on the Lattice of k-Bounded Partitions
Annals of Combinatorics, pp. 251-281, 2016.
05E1851F15affine reflection groupssymmetry
In 2002, Suter  identified a dihedral symmetry on certain order ideals in Young’s lattice and gave a combinatorial action on the partitions in these order ideals. Viewing this result geometrically, the order ideals can be seen to be in bijection with the alcoves in a 2- fold dilation in the geometric realization of the affine symmetri...更多