斜凸置换的CDE性质
The CDE property for skew vexillary permutations
摘要：
我们证明了Reiner，Tenner和Yong的一个猜想，即对应于某些vexillary排列的初始弱序区间具有一致的下度期望（CDE）性质。实际上，我们的定理更一般地适用于某些“斜vexillary”置换（我们引入的概念），并表明这些偏序集实际上是“切换CDE”。“作为推论，我们得到了在Barnard和Thomas和Williams意义下作用于半分配格的行运动的一个同态结果。
英文摘要：
We prove a conjecture of Reiner, Tenner, and Yong which says that the initial weak order intervals corresponding to certain vexillary permutations have the coincidental down-degree expectations (CDE) property. Actually our theorem applies more generally to certain "skew vexillary" permutations (a notion we introduce), and shows that these posets are in fact "toggle CDE." As a corollary we obtain a homomesy result for rowmotion acting on semidistributive lattices in the sense of Barnard and of Thomas and Williams.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
