论文标题
线性扩展和炮击订单
Linear extensions and shelling orders
论文作者
论文摘要
我们证明，矩形的bruhat顺序线性扩展是炮击顺序，而矩阵的重中性细分是一种coxeter Matroid，将Barycentric Subdivision视为对称组的抛物线商的子集。在对称组的微小商及其男性分区中，相似的结果也适用于订单理想。此外，我们将促销和撤离应用于标记的马尔文托图和Reutenauer图表上，以简单络合物的双图，提供促销和撤离炮击顺序。
We prove that linear extensions of the Bruhat order of a matroid are shelling orders and that the barycentric subdivision of a matroid is a Coxeter matroid, viewing barycentric subdivisions as subsets of a parabolic quotient of a symmetric group. A similar result holds for order ideals in minuscule quotients of symmetric groups and in their barycentric subdivisions. Moreover, we apply promotion and evacuation for labeled graphs of Malvenuto and Reutenauer to dual graphs of simplicial complexes, providing promotion and evacuation of shelling orders.
