Positivity of Schubert Coefficients

Published 25 Dec 2024 in math.CO, cs.CC, cs.DM, and math.HO | (2412.18984v1)

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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