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Degree-one Pieri rule for non-symmetric Jack polynomials
Abstract
We give a degree-one Pieri formula for integral nonsymmetric Jack polynomials. In direct analogy with the symmetric case, its coefficients are described by a combinatorial device called jeu de fleches, a filling of composition diagrams. The proof is self-contained and uses reflection and raising recursions which appear to be new
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BibTeX
@misc{schutzer2026degreeone,
title = {{Degree-one Pieri rule for non-symmetric Jack polynomials}},
author = {Waldeck Schutzer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04507},
eprint = {2609.04507},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04507},
}
RIS
TY - UNPB
TI - Degree-one Pieri rule for non-symmetric Jack polynomials
AU - Waldeck Schutzer
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.04507
UR - https://arxiv.org/abs/2609.04507
AB - We give a degree-one Pieri formula for integral nonsymmetric Jack polynomials. In direct analogy with the symmetric case, its coefficients are described by a combinatorial device called jeu de fleches, a filling of composition diagrams. The proof is self-contained and uses reflection and raising recursions which appear to be new
ER -