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JCT
2011

A Pieri rule for skew shapes

9 years 9 months ago
A Pieri rule for skew shapes
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. Key words: Pieri rule, skew Schur functions, Robinson-Schensted 2000 MSC: 05E05, 05E10, 20C30
Sami H. Assaf, Peter R. W. McNamara
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where JCT
Authors Sami H. Assaf, Peter R. W. McNamara
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