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math.CO2011★ 3 cited
Symmetries on the lattice of -bounded partitions
Chris Berg, Nathan Williams, Mike Zabrocki
In 2002 R. 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 res…
math.CO2011
Promotion and Rowmotion
Jessica Striker, Nathan Williams
We present an equivariant bijection between two actions--promotion and rowmotion--on order ideals in certain posets. This bijection simultaneously generalizes a result of R. Stanle…