On Tensor Products of Polynomial Representations

被引：5
|
作者：
Purbhoo, Kevin [1 ]
van Willigenburg, Stephanie [1 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2008年 / 51卷 / 04期
关键词：
polynomial representation; symmetric function; Littlewood-Richardson coefficient; Schur non-negative;
D O I：
10.4153/CMB-2008-058-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine the necessary and sufficient combinatorial conditions for which the tenser product of two irreducible polynomial representations of GL(n, C) is isomorphic to another. As a consequence we discover families of Littlewood-Richardson coefficients that are non-zero, and a condition on Schur non-negativity.
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页码：584 / 592
页数：9
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