论文标题
两个富集的poset多面体
Two enriched poset polytopes
论文作者
论文摘要
斯坦利引入并研究了两个与有限poset相关的阶级多层和链多层的晶格多面体。最近，Ohsugi和Tsuchiya介绍了它们的丰富版本，称为富集的多层和丰富的链层。在本文中，我们在这些富集的Poset多面体之间给出了分段线性的两者，这是Stanley转移图的丰富类似物，并证明它们具有相同的Ehrhart多项式。同样，我们构建了两个富集的poset多面体的明确单型三角剖分。
Stanley introduced and studied two lattice polytopes, the order polytope and chain polytope, associated to a finite poset. Recently Ohsugi and Tsuchiya introduce an enriched version of them, called the enriched order polytope and enriched chain polytope. In this paper, we give a piecewise-linear bijection between these enriched poset polytopes, which is an enriched analogue of Stanley's transfer map and bijectively proves that they have the same Ehrhart polynomials. Also we construct explicitly unimodular triangulations of two enriched poset polytopes.
