A Pieri rule for skew shapes

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:118

Article

Assaf, Sami H.¹  McNamara, Peter R. W.² 

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

关键词: Pieri rule;    Skew Schur functions;    Robinson-Schensted;   

DOI  :  10.1016/j.jcta.2010.03.010

来源: Elsevier

【 摘 要 】

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 (C) 2010 Elsevier Inc All rights reserved

【 授权许可】

Free