The partition algebra and the Kronecker coefficients
The partition algebra and the Kronecker coefficients
复制标题
DOI：
10.1090/s0002-9947-2014-06245-4
复制
发表时间：
2012-10
影响因子：
1.3
通讯作者：
C. Bowman;M. Visscher;R. Orellana
中科院分区：
文献类型：
--
作者：
C. Bowman;M. Visscher;R. Orellana
利用对称群与分块代数之间的Schur-Weyl对偶性，提出了一种研究Kronecker系数的新方法.我们解释的限制行为和相关的界限的上下文中的分区代数。我们的分析导致一个统一的描述时，减少克罗内克系数的索引分区之一是一个钩子或两部分的分区。
We propose a new approach to study the Kronecker coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. We explain the limiting behaviour and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the reduced Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.