Pith. sign in

REVIEW 1 cited by

The Newton polytope of the Kronecker product

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 2311.10276 v2 pith:G5CKKROM submitted 2023-11-17 math.CO math.RT

Greta Panova , Chenchen Zhao This is my paper · ORCID
classification math.COmath.RT
keywords kroneckerproductcoefficientsnewtonpolytopepositivitycasescharacteristic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We study the Kronecker product of two Schur functions $s_\lambda\ast s_\mu$, defined as the image of the characteristic map of the product of two $S_n$ irreducible characters. We prove special cases of a conjecture of Monical--Tokcan--Yong that its monomial expansion has a saturated Newton polytope. Our proofs employ the Horn inequalities for positivity of Littlewood-Richardson coefficients and imply necessary conditions for the positivity of Kronecker coefficients.

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. Supersymmetric Schur polynomials have saturated Newton polytopes

    math.CO 2025-07 reject novelty 5.0 of 10

    A proof that supersymmetric Schur polynomials have SNP is invalid because the stated hook-inequality support set is contradicted by the paper's own example and by symmetry.

Pith tools