Symmetries on the Lattice of k-Bounded Partitions

Annals of Combinatorics, pp. 251-281, 2016.

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05E1851F15affine reflection groupssymmetry

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In 2002, Suter [25] 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

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