Pith. sign in

REVIEW 1 cited by

Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2305.07966 v1 pith:U5TZ5WZU submitted 2023-05-13 math.CO

Houcine Ben Dali , Maciej Do{l}ęga This is my paper · ORCID
classification math.CO
keywords jackformulacharacterspolynomialsconjecturegivelassallebipartite
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We give an explicit formula for the power-sum expansion of Jack polynomials. We deduce it from a more general formula, which we provide here, that interprets Jack characters in terms of bipartite maps. We prove Lassalle's conjecture from 2008 on integrality and positivity of Jack characters in Stanley's coordinates and give a new formula for Jack polynomials using creation operators.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Path operators and $(q,t)$-tau functions

    math.CO 2025-06 conditional novelty 7.0 of 10

    Path operators on Macdonald symmetric functions are shown to represent Negut shuffle algebra elements, yielding a unique PDE characterization of a (q,t)-tau function and a new proof of a key result behind the extended...

Pith tools