English

Positivity of Schubert Coefficients

Combinatorics 2024-12-30 v1 Computational Complexity Discrete Mathematics History and Overview

Abstract

Schubert coefficients cu,vwc_{u,v}^w are structure constants describing multiplication of Schubert polynomials. Deciding positivity of Schubert coefficients is a major open problem in Algebraic Combinatorics. We prove a positive rule for this problem based on two standard assumptions.

Keywords

Cite

@article{arxiv.2412.18984,
  title  = {Positivity of Schubert Coefficients},
  author = {Igor Pak and Colleen Robichaux},
  journal= {arXiv preprint arXiv:2412.18984},
  year   = {2024}
}

Comments

7 pages

R2 v1 2026-06-28T20:48:52.361Z