极小格的CDE性质
The CDE property for minuscule lattices
摘要：
Reiner、Tenner和Yong最近引入了有限偏序集的一致降度期望（CDE）性质，并证明了许多好的偏序集都是CDE。本文进一步探讨了CDE性质，解决了Reiner-Tenner-Yong关于CDE偏序集的一些问题。我们的工作的一个结果是完成一个个案的情况下证明，任何微小的晶格是CDE。我们还解释了CDE偏序集的研究的两个主要应用：某些类的集值tableaux公式;和homomesy结果行运动和回转作用于集的阶理想。
英文摘要：
Reiner, Tenner, and Yong recently introduced the coincidental down-degree expectations (CDE) property for finite posets and showed that many nice posets are CDE. In this paper we further explore the CDE property, resolving a number of conjectures about CDE posets put forth by Reiner-Tenner-Yong. A consequence of our work is the completion of a case-by-case proof that any minuscule lattice is CDE. We also explain two major applications of the study of CDE posets: formulas for certain classes of set-valued tableaux; and homomesy results for rowmotion and gyration acting on sets of order ideals.
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