Reduced Schur Functions and the Littlewood–Richardson Coefficients
Reduced Schur Functions and the Littlewood–Richardson Coefficients
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约简 Schur 函数和 Littlewood–Richardson 系数
DOI：
10.1112/s002461079900705x
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Hirofumi Yamada
中科院分区：
文献类型：
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作者：
S. Ariki;T. Nakajima;Hirofumi Yamada
本文讨论了“r-约化”Schur函数所满足的一个公式。Schur函数最初是作为复数域上一般线性群的不可约特征标出现的。本文将它们看作关于幂和对称函数的加权齐次多项式。更准确地说，对于一个大小为n的杨图λ，以λ为索引的舒尔函数为Sλ（t）=∑v1+ 2 v2 +...=n × λ（v）t1v1t2v2.v1！v2！.
This paper deals with a formula satisfied by ‘r‐reduced’ Schur functions. Schur functions originally appear as irreducible characters of general linear group over the complex number field. In this paper they are considered as weighted homogeneous polynomials with respect to the power sum symmetric functions. More precisely, for a Young diagram λ of size n, the Schur function indexed by λ reads Sλ(t)=∑v1+2v2+…=nχλ(v)t1v1t2v2…v1!v2!…