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CODES AND SHIFTED CODES

J. T. HIRD

Department of Mathematics, West Virginia University, Institute of Technology, West Virginia 25136, USA

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NAIHUAN JING

Department of Mathematics, North Carolina State University, North Carolina 27695, USA

School of Sciences, South China University of Technology, Guanghou 510640, P. R. China

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, and

ERNEST STITZINGER

Department of Mathematics, North Carolina State University, North Carolina 27695, USA

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https://doi.org/10.1142/S0218196712500543Cited by:1 (Source: Crossref)

Abstract

The action of the Bernstein operators on Schur functions was given in terms of codes by Carrell and Goulden (2011) and extended to the analog in Schur Q-functions in our previous work. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions.

Keywords:

AMSC: 05E05

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