Year: 2026
Type: preprint
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
Source: arXiv (Cornell University)
Author: Schutzer, Waldeck
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211869687