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arXiv · 2609.04507

Degree-one Pieri rule for non-symmetric Jack polynomials

Waldeck Schutzer
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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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Waldeck Schutzer. 2026-09-03. Degree-one Pieri rule for non-symmetric Jack polynomials. https://arxiv.org/abs/2609.04507

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