Rectangular Schur functions and the basic representation of affine Lie algebras

被引：8
|
作者：
Mizukawa, H [1 ]
Yamada, HF
机构：
[1] Natl Def Acad, Dept Math, Yokosuka, Kanagawa 2398686, Japan
[2] Okayama Univ, Dept Math, Okayama 7008530, Japan
来源：
DISCRETE MATHEMATICS | 2005年 / 298卷 / 1-3期
关键词：
affine Lie algebra; rectangular partition; Schur function;
D O I：
10.1016/j.disc.2004.04.050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An expression is given for the plethysm p(2) omicron S rectangle], where p(2) is the power sum of degree two and S rectangle is the Schur function indexed by a rectangular partition. The formula can be well understood from (2) the viewpoint of the basic representation of the affine Lie algebra of type A(2)((2)) (c) 2005 Elsevier B.V. All rights reserved.
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页码：285 / 300
页数：16
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