Codes and shifted codes
Combinatorics
2020-09-08 v1
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.
Cite
@article{arxiv.1109.1346,
title = {Codes and shifted codes},
author = {J. T. Hird and Naihuan Jing and Ernest Stitzinger},
journal= {arXiv preprint arXiv:1109.1346},
year = {2020}
}