论A型Dynkin图的拨动组的作用

Q3 Mathematics

Algebraic Combinatorics Pub Date : 2021-03-30 DOI:10.5802/alco.204

Yasuhide Numata, Yuiko Yamanouchi

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引用次数: 2

摘要

在本文中，我们考虑类型A的Dynkin图或路径图的独立集集上的对合，称为togglings。我们感兴趣的是由togglings生成的独立集的集合的对称群的子群的作用。我们证明了子群与对称群是一致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the action of the toggle group of the Dynkin diagram of type A

In this article, we consider involutions, called togglings, on the set of independent sets of the Dynkin diagram of type A, or a path graph. We are interested in the action of the subgroup of the symmetric group of the set of independent sets generated by togglings. We show that the subgroup coincides with the symmetric group.

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来源期刊

Algebraic Combinatorics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

51 weeks