THE PARTITION ALGEBRA AND THE KRONECKER COEFFICIENTS

被引：32
|
作者：
Bowman, C. [1 ]
De Visscher, M. [2 ]
Orellana, R. [3 ]
机构：
[1] Inst Math Jussieu, F-75013 Paris, France
[2] City Univ London, Ctr Math Sci, London EC1V 0HB, England
[3] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
IRREDUCIBLE REPRESENTATIONS; PRODUCT;
D O I：
10.1090/S0002-9947-2014-06245-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：3647 / 3667
页数：21
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