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arXiv · 2412.18984

Positivity of Schubert Coefficients

Igor Pak·Colleen Robichaux
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Abstract

Schubert coefficients $c_{u,v}^w$ 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.

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Igor Pak, Colleen Robichaux. 2024-12-25. Positivity of Schubert Coefficients. https://arxiv.org/abs/2412.18984

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