论文标题
远程同等的一致性与推广的一致性
Removahedral congruences versus permutree congruences
论文作者
论文摘要
相关标志是经典地构造为removahedron，即通过删除Persutahedron的方面描述中的不平等现象。这种远程构造延伸到所有定居者（在固定体，联合方面和立方体之间的插值）。在这里，我们调查了所有商po的removahedra构造（这意识到了弱点的晶格商）。一方面，我们观察到，推销员的粉丝是Removahedron意识到的唯一商。另一方面，我们表明，通过辫子风扇的任何意识到，任何推销风扇都可以通过造成的re vaheDron来实现。我们的结果最终导致了对定录风扇的类型锥体的完整描述。
The associahedron is classically constructed as a removahedron, i.e. by deleting inequalities in the facet description of the permutahedron. This removahedral construction extends to all permutreehedra (which interpolate between the permutahedron, the associahedron and the cube). Here, we investigate removahedra constructions for all quotientopes (which realize the lattice quotients of the weak order). On the one hand, we observe that the permutree fans are the only quotient fans realized by a removahedron. On the other hand, we show that any permutree fan can be realized by a removahedron constructed from any realization of the braid fan. Our results finally lead to a complete description of the type cone of the permutree fans.
