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arXiv · 1109.1346

Codes and shifted codes

J. T. Hird·Naihuan Jing·Ernest Stitzinger
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Abstract

The action of the Bernstein operators on Schur functions was given in terms of codes in [CG] and extended to the analog in Schur Q-functions in [HJS]. 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.

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J. T. Hird, Naihuan Jing, Ernest Stitzinger. 2011-09-07. Codes and shifted codes. https://doi.org/10.1142/s0218196712500543

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