A generalization of the Littlewood-Richardson rule and the Robinson-Schensted-Knuth correspondence
A generalization of the Littlewood-Richardson rule and the Robinson-Schensted-Knuth correspondence
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Littlewood-Richardson 规则和 Robinson-Schensted-Knuth 对应关系的推广
DOI：
10.1016/0021-8693(81)90128-9
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发表时间：
1981
影响因子：
0.9
通讯作者：
A. Zelevinsky
中科院分区：
文献类型：
--
作者：
A. Zelevinsky
本文计算了任意斜图对应的对称群S的交织表示数。答案是根据本质上包含在[1]中的图像的组合概念得到的。该证明是基于推广著名的Robinson-Schensted-Knuth对应的图像组合结果。让我们更详细地谈谈这篇论文的内容。在第2节中，我们介绍了将在续集中使用的组合术语。这里介绍的主要概念是歪斜图（我们简单地称之为图）、划分图和图（即满足某些条件的两个图之间的双射）。我们的术语深受[2]的影响。
In this paper the intertwining number of representations of the symmetric group S, corresponding to arbitrary skew diagrams, is computed. The answer is obtained in terms of the combinatorial notion of a picture which is essentially contained in [l]. The proof is based on the combinatorial result on pictures generalizing the well-known Robinson-Schensted-Knuth correspondence.Let us give a more detailed account of the contents of this paper. In Section 2 we introduce the combinatorial terminology which will be used in the sequel. The main notions introduced here are those of a skew diagram (we call it simply a diagram), a partition diagram and a picture (ie, a bijection between two diagrams satisfying some conditions). Our terminology is strongly influenced by [2].