A Littlewood-Richardson rule for factorial Schur functions

被引：50
|
作者：
Molev, AI [1 ]
Sagan, BE
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 11期
关键词：
Capelli operator; factorial Schur function; Littlewood-Richardson rule; quantum immanant; Young tableau;
D O I：
10.1090/S0002-9947-99-02381-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a combinatorial rule for calculating the coefficients in the expansion of a product of two factorial Schur functions. It is a special case of a more general rule which also gives the coefficients in the expansion of a skew factorial Schur function. Applications to Capelli operators and quantum immanants are also given.
引用
收藏
页码：4429 / 4443
页数：15
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