论文标题
订购多项式产品公式和POSET动力学
Order polynomial product formulas and poset dynamics
论文作者
论文摘要
我们调查了有限poset的所有已知示例,其多项式有乘积公式,我们提出启发式方法,即它们是具有良好动力学行为的相同posets。在这里,所讨论的动力学是促销对Poset p分区对POSET和行的线性扩展的作用。
We survey all known examples of finite posets whose order polynomials have product formulas, and we propose the heuristic that these are the same posets with good dynamical behavior. Here the dynamics in question are the actions of promotion on the linear extensions of the poset and rowmotion on the P-partitions of the poset.