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On Order Ideals of Minuscule Posets III: The CDE Property
[article]
2016
arXiv
pre-print
Recent work of Hopkins establishes that the lattice of order ideals of a minuscule poset satisfies the coincidental down-degree expectations property of Reiner, Tenner, and Yong. His approach appeals to the classification of minuscule posets. A uniform proof is presented herein. The blueprint follows that of Rush and Wang in their uniform proof that various cardinality statistics are homomesic on orbits of order ideals of minuscule posets under the Fon-Der-Flaass action. The underpinning
arXiv:1607.08018v1
fatcat:jdtnwpwr6nc5hfk22vuvdwf2ky