用聚类代数的方法来呈现统一块排列的单项式

IF 0.7 3区数学 Q2 MATHEMATICS Semigroup Forum Pub Date : 2024-07-29 DOI:10.1007/s00233-024-10457-3

Bing Duan, Jian-Rong Li, Yan-Feng Luo

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引用次数: 0

摘要

我们描述了某个具有冻结顶点的奎伍的突变类，并将这些奎伍与我们的突变类中出现的势关联到集合 $\{1,2,\ldots , n+1\}) 上均匀块排列的单体 \({\mathscr {P}}_{n+1}$ 的呈现。恢复了 ${\mathscr {P}}_{n+1}$ 的一些经典和已知的呈现，包括 FitzGerald 的呈现以及 Everitt 和 Fountain 的呈现。

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A cluster algebra approach to presentations of the monoid of uniform block permutations

We describe the mutation class of a certain quiver with a frozen vertex and associate these quivers with potentials appearing in our mutation class to presentations of the monoid ${\mathscr {P}}_{n+1}$ of uniform block permutations on the set $\{1,2,\ldots , n+1\}$. Some classical and known presentations of ${\mathscr {P}}_{n+1}$, including FitzGerald’s presentation and Everitt and Fountain’s presentation, are recovered.

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来源期刊

Semigroup Forum 数学-数学

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

12 months

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