论文标题
WACHS排列，Bruhat秩序和弱点
Wachs permutations, Bruhat order and weak order
论文作者
论文摘要
我们研究了通过对称和高二十字体群的Bruhat和弱阶在WACH和签名的WACH置换术中引起的部分订单。我们表明，当这些顺序分级，确定其等级函数，表征其排序和覆盖关系，并计算其特征多项式，当通过Bruhat秩序部分订购时，并在按正确的弱阶部分部分订购时明确确定其结构。
We study the partial orders induced on Wachs and signed Wachs permutations by the Bruhat and weak orders of the symmetric and hyperoctahedral groups. We show that these orders are graded, determine their rank function, characterize their ordering and covering relations, and compute their characteristic polynomials, when partially ordered by Bruhat order, and determine their structure explicitly when partially ordered by right weak order.
