残馀多集中年轻图的识别

Pub Date : 2023-03-06 DOI:10.1007/s00026-023-00641-7

Salim Rostam

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引用次数: 0

摘要

对于任何杨图，我们都可以联想到它所有节点的残差多集。本文关注的是反问题：给定一个 \(\mathbb {Z}/e\mathbb {Z}\)的元素多集，它是否来自杨图？我们用费耶斯的核心块概念和多分区的权重概念，给出了杨多图的第一层次的完整解和更高层次的部分答案。我们应用第一层的结果来研究分区上的移位操作。

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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Identifying Young Diagrams Among Residue Multisets

To any Young diagram we can associate the multiset of residues of all its nodes. This paper is concerned with the inverse problem: given a multiset of elements of \(\mathbb {Z}/e\mathbb {Z}\), does it comes from a Young diagram? We give a full solution in level one and a partial answer in higher levels for Young multidiagrams, using Fayers’s notions of core block and weight of a multipartition. We apply the result in level one to study a shift operation on partitions.

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