论文标题
识别残留多组之间的年轻图
Identifying Young diagrams among residue multisets
论文作者
论文摘要
对于任何年轻的图，我们都可以将其所有节点的残基的多组相关联。本文涉及逆问题：鉴于Z/EZ的多种元素，它来自年轻图吗？我们使用Fayers的核心块和多分区的重量为年轻的多种图提供了一个完整的解决方案，并在较高级别的一级答案中为较高的级别提供了解决方案。我们将结果应用于第一级以研究分区的换档操作。
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 Z/eZ, 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.
