论文标题
Coxeter Matroids的普遍估值
The Universal Valuation of Coxeter Matroids
论文作者
论文摘要
Coxeter Matroids概括了矩阵，就像谎言组的旗帜品种概括了司羊奶一样。 Coxeter Matroids的估值是Coxeter Matroid分为较小的功能。我们计算Coxeter Matroids的普遍评估不变性。一个关键的成分是Coxeter Schubert Matroids的家族，它与标志品种的Bruhat细胞相对应。在此过程中，我们计算了广义coxeter permutohedra的通用估值，这是一个较大的多面体，该家族模拟了组合物体的coxeter类似物，例如矩阵，簇和posets。
Coxeter matroids generalize matroids just as flag varieties of Lie groups generalize Grassmannians. Valuations of Coxeter matroids are functions that behave well with respect to subdivisions of a Coxeter matroid into smaller ones. We compute the universal valuative invariant of Coxeter matroids. A key ingredient is the family of Coxeter Schubert matroids, which correspond to the Bruhat cells of flag varieties. In the process, we compute the universal valuation of generalized Coxeter permutohedra, a larger family of polyhedra that model Coxeter analogues of combinatorial objects such as matroids, clusters, and posets.
