A NOTE ON CERTAIN KRONECKER COEFFICIENTS

被引：10

作者：

Manivel, L. ^{[1
]}

机构：

[1] Univ Grenoble 1, Inst Fourier, F-38402 St Martin Dheres, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 01期

关键词：

D O I：

10.1090/S0002-9939-09-10086-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an explicit formula for the tensor square of an irreducible complex representation of the symmetric group defined by a rectangle of height two. We also describe part of the decomposition for the tensor product of representations defined by rectangles of heights two and four. Our results are deduced, through Schur-Weyl duality, from the observation that certain actions on triple tenser products of vector spaces are multiplicity free.

引用

页码：1 / 7

页数：7