论文标题
修剪定居者以延长停车位
Trimming the permutahedron to extend the parking space
论文作者
论文摘要
Berget和Rhoades询问，是否可以将$ s_ {n-1} $的操作获得的置换表示在长度$ n-1 $的停车功能上获得的置换表示，可以扩展到$ s_ {n} $的排列操作。我们肯定地回答了这个问题。我们以两种不同的方式实现了我们的模块。第一个描述涉及二进制Lyndon单词，第二个涉及对称组对修剪标准固定体的晶格点的作用。
Berget and Rhoades asked whether the permutation representation obtained by the action of $S_{n-1}$ on parking functions of length $n-1$ can be extended to a permutation action of $S_{n}$. We answer this question in the affirmative. We realize our module in two different ways. The first description involves binary Lyndon words and the second involves the action of the symmetric group on the lattice points of the trimmed standard permutahedron.
