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.

引用

页码：3647 / 3667

页数：21

共 24 条

[1]

[Anonymous], OXFORD MATH MONOGRAP

[2]

Ballantine CM, 2005, ELECTRON J COMB, V12

[3]

Benson D. J., 1998, CAMBRIDGE STUDIES AD, VI

[4] On Kronecker products of complex representations of the symmetric and alternating groups [J].