论文标题
微小Posets上的Birational Rowmotion和Coxeter-Motion
Birational rowmotion and coxeter-motion on minuscule posets
论文作者
论文摘要
Birational Rowmotion是一个有限poset上所有正面实现函数集合的一个离散动力系统，这是组合理想的组合行动型组合式升力。众所周知，微小poset的组合行为的阶数等于Coxeter编号，并且显示了用于精制顺序的理想基数统计量的文件同源现象。在本文中，我们将这些结果推广到了男子式环境。此外，作为对两个连锁店的产物的概括促进的概括，我们在微小的posets上引入了Birational Coxeter-Motion，并证明它具有周期性和归档同质性。
Birational rowmotion is a discrete dynamical system on the set of all positive real-valued functions on a finite poset, which is a birational lift of combinatorial rowmotion on order ideals. It is known that combinatorial rowmotion for a minuscule poset has order equal to the Coxeter number, and exhibits the file homomesy phenomenon for refined order ideal cardinality statistic. In this paper we generalize these results to the birational setting. Moreover, as a generalization of birational promotion on a product of two chains, we introduce birational Coxeter-motion on minuscule posets, and prove that it enjoys periodicity and file homomesy.
