偶超八面体群上左弱序的一个等价刻画  

An equivalent description of the left weak order on the even hyperoctahedral group

作　　者：宝显婷 喻厚义[1] BAO Xian-ting;YU Hou-yi(College of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西北师范大学学报(自然科学版)》2025年第2期40-44,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12071377);中央高校基本科研业务费项目(SWU-XDJH202305)。

摘　　要：利用偶符号排列的逆序集与负和对集,给出了偶超八面体群上左弱序的一个等价刻画.作为应用,证明了给定负指标集的所有偶符号排列的集合在左弱序下是一个区间.An equivalent description of the left weak order on the even hyperoctahedral group is established in terms of the inversion sets and negative sum pair sets of even signed permutations.As an application,it is proved that the set of all even signed permutations with given negative index set forms an interval under the left weak order.

关 键 词：偶符号排列 左弱序 区间 偶超八面体群 

分 类 号：O152[理学—数学]