论文标题
子词复合物和2个截断的立方体
Subword complexes and 2-truncated cubes
论文作者
论文摘要
对于有限的Coxeter组的Coxeter Element $ c $，我们考虑了一个由最长元素表达式降低表达式的子字综合体系列。这个家庭概括了$ c- $ cluster综合体。我们用相应根系的根来描述这些复合物的顶点。我们证明，所有这些复合物的双重多面是组合2截断的立方体。
For a Coxeter element $c$ of a finite Coxeter group, we consider a family of subword complexes parameterized by reduced expressions of the longest element. This family generalizes $c-$cluster complexes. We describe vertices of these complexes in terms of roots of the corresponding root system. We prove that dual polytopes of all such complexes are combinatorial 2-truncated cubes.
