A Pieri rule for skew shapes
A Pieri rule for skew shapes
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倾斜形状的 Pieri 规则
DOI：
10.1016/j.jcta.2010.03.010
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Peter R. W. McNamara
中科院分区：
文献类型：
--
作者：
Sami H. Assaf;Peter R. W. McNamara
Pieri规则表示Schur函数和单列Schur函数的乘积。本文推广了经典的Pieri规则，将斜Schur函数与单行Schur函数的乘积表示为斜Schur函数。像经典规则一样，我们的规则涉及到简单的盒子添加到原始的倾斜形状。我们的证明是纯粹的组合和扩展的经典情况下的组合证明。
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product of a skew Schur function and a single row Schur function in terms of skew Schur functions. Like the classical rule, our rule involves simple additions of boxes to the original skew shape. Our proof is purely combinatorial and extends the combinatorial proof of the classical case.