介于Ish与Shi之间
组合数学
2018-11-19 v3
摘要
我们引入了一类新的维数 的超平面排列族，它同时包含Shi排列和Ish排列。我们证明，给定子族的所有成员具有相同的区域数——即超平面并集的补集的连通分支——这些区域可用Pak-Stanley标号进行双射标记。此外，我们展示了在Shi和Ish排列的情形下，具有给定长度的逆向中心的标号数量相等，并猜想该现象同样发生于该族所有成员。
引用
@article{arxiv.1703.02509,
title = {Between Ish and Shi},
author = {Rui Duarte and António Guedes de Oliveira},
journal= {arXiv preprint arXiv:1703.02509},
year = {2018}
}
备注
In this version we introduced improvements and corrections that have been kindly suggested by the reviewer of Discrete Mathematics, where the article has been accepted for publication